{"id":470,"date":"2018-11-27T08:20:25","date_gmt":"2018-11-27T07:20:25","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=470"},"modified":"2024-02-11T10:38:19","modified_gmt":"2024-02-11T09:38:19","slug":"nickzom-calculator-solves-for-lowest-common-multiples-and-highest-common-factor-in-pre-algebra","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2018\/11\/27\/nickzom-calculator-solves-for-lowest-common-multiples-and-highest-common-factor-in-pre-algebra\/","title":{"rendered":"Nickzom Calculator Solves for Lowest Common Multiples and Highest Common Factor in Pre Algebra"},"content":{"rendered":"<p>According to <a href=\"https:\/\/en.wikipedia.org\/wiki\/Least_common_multiple\">Wikipedia<\/a>, in <a title=\"Arithmetic\" href=\"https:\/\/en.wikipedia.org\/wiki\/Arithmetic\">arithmetic<\/a>\u00a0and\u00a0<a title=\"Number theory\" href=\"https:\/\/en.wikipedia.org\/wiki\/Number_theory\">number theory<\/a>, the\u00a0<b>least common multiple<\/b>,\u00a0<b>lowest common multiple<\/b>, or\u00a0<b>smallest common multiple<\/b>\u00a0of two\u00a0<a title=\"Integer\" href=\"https:\/\/en.wikipedia.org\/wiki\/Integer\">integers<\/a>\u00a0<i>a<\/i>\u00a0and\u00a0<i>b<\/i>, usually denoted by\u00a0<b>LCM(<i>a<\/i>,\u00a0<i>b<\/i>)<\/b>, is the smallest positive integer that is\u00a0<a class=\"mw-redirect\" title=\"Divisible\" href=\"https:\/\/en.wikipedia.org\/wiki\/Divisible\">divisible<\/a>\u00a0by both\u00a0<i>a<\/i>\u00a0and\u00a0<i>b<\/i>.<sup id=\"cite_ref-1\" class=\"reference\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Least_common_multiple#cite_note-1\">]<\/a><\/sup>\u00a0Since division of integers by zero is undefined, this definition has meaning only if\u00a0<i>a<\/i>\u00a0and\u00a0<i>b<\/i>\u00a0are both different from zero.<sup id=\"cite_ref-auto_2-0\" class=\"reference\"><\/sup>\u00a0However, some authors define LCM (<i>a<\/i>,0) as 0 for all\u00a0<i>a<\/i>, which is the result of taking the LCM to be the\u00a0<a class=\"mw-redirect\" title=\"Least upper bound\" href=\"https:\/\/en.wikipedia.org\/wiki\/Least_upper_bound\">least upper bound<\/a>\u00a0in the\u00a0<a class=\"mw-redirect\" title=\"Lattice (order theory)\" href=\"https:\/\/en.wikipedia.org\/wiki\/Lattice_(order_theory)\">lattice<\/a>\u00a0of divisibility.<\/p>\n<p>The LCM is the &#8220;<a title=\"Lowest common denominator\" href=\"https:\/\/en.wikipedia.org\/wiki\/Lowest_common_denominator\">lowest common denominator<\/a>&#8221; (LCD) that can be used before\u00a0<a title=\"Fraction (mathematics)\" href=\"https:\/\/en.wikipedia.org\/wiki\/Fraction_(mathematics)\">fractions<\/a> can be added, subtracted or compared. The LCM of more than two integers is also well-defined. It is the smallest positive integer that is divisible by each of them.<\/p>\n<p>According to <a href=\"https:\/\/www.mathsisfun.com\/greatest-common-factor.html\">Math is Fun<\/a>, the highest common factor or greatest common divisor is the highest number that divides exactly into two or more numbers. It is the &#8220;greatest&#8221; thing for simplifying fractions!<\/p>\n<p>Nickzom Calculator is capable of computing for a small or large range of numbers in determining the <strong>lowest common multiple<\/strong> or<strong> highest common factor<\/strong><\/p>\n<p>When it comes to lowest common multiple, popularly known as LCM for a range of numbers, it takes the multiples of all the numbers that can divide the range of numbers till the range of numbers are all 1.<\/p>\n<p>When it comes to the highest common factor, popularly known as HCF or GCD, it takes the multiple of the numbers that can only divide through all the ranges of numbers simultaneously.<\/p>\n<h2>How to Solve the Lowest Common Multiples and Highest Common Factor in Pre Algebra with Nickzom Calculator<\/h2>\n<p>Now, it&#8217;s time to calculate!<\/p>\n<p><strong>Proceed to the Calculator Map<\/strong><\/p>\n<p><!--more--><\/p>\n<p>Highest Common Factor and Lowest Common Multiple are under <strong>Pre-Algebra<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-527 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-226-1024x576.png\" alt=\"Nickzom Calculator Solves for Lowest Common Multiples and Highest Common Factor in Pre Algebra\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-226-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-226-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-226-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-226.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Let&#8217;s begin with the Lowest Common Multiple<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-528 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-227-1024x576.png\" alt=\"Nickzom Calculator Solves for Lowest Common Multiples and Highest Common Factor in Pre Algebra\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-227-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-227-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-227-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-227.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>This is the interface for entering your range of numbers to determine the LCM.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-529 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-228-1024x576.png\" alt=\"Nickzom Calculator Solves for Lowest Common Multiples and Highest Common Factor in Pre Algebra\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-228-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-228-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-228-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-228.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Let&#8217;s find the LCM for 5 numbers which are 4, 12, 8, 20, 22<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-530 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-230-1024x576.png\" alt=\"Nickzom Calculator Solves for Lowest Common Multiples and Highest Common Factor in Pre Algebra\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-230-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-230-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-230-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-230.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Once you have entered the numbers click on the <strong>Calculate<\/strong> button<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-531\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-231-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-231-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-231-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-231-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-231.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Hurray! You answer comes up with the workings on how the lowest common multiple was computed immediately.<\/p>\n<p>Now, lets proceed to the Highest Common Factor, click on the <strong>Pre &#8211; Algebra<\/strong> navigation link as shown below.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-532\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-232-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-232-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-232-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-232-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-232.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Proceed to click on <strong>Highest Common Factor<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-533\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-233-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-233-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-233-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-233-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-233.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-534\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-234-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-234-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-234-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-234-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-234.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Now, lets compute the highest common factor for 6 numbers which are: 14, 20, 18, 22, 24, 10. Enter the your values.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-535\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-235-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-235-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-235-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-235-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-235.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Click on the <strong>Calculate<\/strong> Button<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-536\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-236-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-236-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-236-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-236-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-236.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Once again, Nickzom Calculator delivers with a well detailed answer for obtaining the <strong>highest common factor<\/strong>.<\/p>\n<p>is is very simple.<\/p>\n<p>One can access\u00a0<strong>Nickzom Calculator+<\/strong>\u00a0(The Calculator Encyclopedia) via any of these channels:<\/p>\n<p>Web \u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n<p>Android (Paid) \u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><\/p>\n<p>Apple (Paid) \u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><\/p>\n<p><strong>Peace!<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"According to Wikipedia, in arithmetic\u00a0and\u00a0number theory, the\u00a0least common multiple,\u00a0lowest common multiple, or\u00a0smallest common multiple\u00a0of two\u00a0integers\u00a0a\u00a0and\u00a0b, usually denoted by\u00a0LCM(a,\u00a0b),&hellip;","protected":false},"author":1,"featured_media":12215,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":"","_members_access_role":[],"_members_access_error":""},"categories":[4],"tags":[84,196,195,192,194,191,56,87,193],"class_list":["post-470","post","type-post","status-publish","format-standard","has-post-thumbnail","category-mathematics","tag-calculator-encyclopedia","tag-gcd","tag-hcf","tag-highest-common-divisor","tag-lcm","tag-lowest-common-multiple","tag-mathematics","tag-nickzom-calculator","tag-pre-algebra","cs-entry"],"yoast_head":"<!-- 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