{"id":237987,"date":"2025-06-17T19:06:06","date_gmt":"2025-06-17T19:06:06","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=237987"},"modified":"2025-06-17T19:06:09","modified_gmt":"2025-06-17T19:06:09","slug":"what-is-the-lcm-of-the-numbers-4-5-and-10","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/17\/what-is-the-lcm-of-the-numbers-4-5-and-10\/","title":{"rendered":"What is the LCM of the numbers 4, 5, and 10"},"content":{"rendered":"\n<p>What is the LCM of the numbers 4, 5, and 10? 40 30 20 10<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer: 20<\/strong><\/p>\n\n\n\n<p>This answer is <strong>incorrect<\/strong>. Let&#8217;s find the correct <strong>Least Common Multiple (LCM)<\/strong> of 4, 5, and 10 step-by-step and determine the accurate choice among the given options: <strong>40, 30, 20, 10<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Prime Factorization<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>4 = 2 \u00d7 2 = 2\u00b2<\/strong><\/li>\n\n\n\n<li><strong>5 = 5 (a prime number)<\/strong><\/li>\n\n\n\n<li><strong>10 = 2 \u00d7 5<\/strong><\/li>\n<\/ul>\n\n\n\n<p>To find the LCM, we take <strong>each prime factor<\/strong> that appears and raise it to the <strong>highest power<\/strong> it occurs in any of the factorizations.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The factor 2 appears as <strong>2\u00b2<\/strong> in 4<\/li>\n\n\n\n<li>The factor 5 appears as <strong>5<\/strong> in both 5 and 10<\/li>\n<\/ul>\n\n\n\n<p>So, the LCM will be:<br><strong>LCM = 2\u00b2 \u00d7 5 = 4 \u00d7 5 = 20<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Verify<\/h3>\n\n\n\n<p>Check that 20 is divisible by all three numbers:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>20 \u00f7 4 = 5 \u2192 whole number \u2705<\/li>\n\n\n\n<li>20 \u00f7 5 = 4 \u2192 whole number \u2705<\/li>\n\n\n\n<li>20 \u00f7 10 = 2 \u2192 whole number \u2705<\/li>\n<\/ul>\n\n\n\n<p>Therefore, <strong>20 is the smallest number divisible by 4, 5, and 10<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why not the other choices?<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>10<\/strong> is divisible by 5 and 10, but not by 4 \u274c<\/li>\n\n\n\n<li><strong>30<\/strong> is divisible by 5 and 10, but not by 4 \u274c<\/li>\n\n\n\n<li><strong>40<\/strong> is divisible by all three, but it is not the smallest common multiple \u274c<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>The correct answer is: <strong>20<\/strong><\/p>\n\n\n\n<p>The Least Common Multiple is a useful concept in solving problems involving synchronization of events, finding common denominators, or aligning periodic events. It ensures that we identify the smallest value shared as a multiple by different numbers, avoiding unnecessary repetition or larger values.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-960.jpeg\" alt=\"\" class=\"wp-image-237988\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the LCM of the numbers 4, 5, and 10? 40 30 20 10 The Correct Answer and Explanation is: Correct Answer: 20 This answer is incorrect. Let&#8217;s find the correct Least Common Multiple (LCM) of 4, 5, and 10 step-by-step and determine the accurate choice among the given options: 40, 30, 20, 10. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-237987","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/237987","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=237987"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/237987\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=237987"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=237987"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=237987"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}