{"id":247367,"date":"2025-07-07T16:24:14","date_gmt":"2025-07-07T16:24:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=247367"},"modified":"2025-07-07T16:24:16","modified_gmt":"2025-07-07T16:24:16","slug":"the-least-common-multiple-of-20-25-and-45-is","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/07\/the-least-common-multiple-of-20-25-and-45-is\/","title":{"rendered":"The least common multiple of 20 25 and 45 is"},"content":{"rendered":"\n<p>The least common multiple of 20 25 and 45 is<\/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>To find the least common multiple (LCM) of 20, 25, and 45, we first need to identify the prime factorization of each number:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>20 = 2\u00b2 * 5<\/li>\n\n\n\n<li>25 = 5\u00b2<\/li>\n\n\n\n<li>45 = 3\u00b2 * 5<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Identify all the prime factors<\/h3>\n\n\n\n<p>The prime factors involved are 2, 3, and 5. For the LCM, we take the highest power of each prime factor from the factorizations:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The highest power of 2 is 2\u00b2 (from 20).<\/li>\n\n\n\n<li>The highest power of 3 is 3\u00b2 (from 45).<\/li>\n\n\n\n<li>The highest power of 5 is 5\u00b2 (from 25).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Multiply the highest powers<\/h3>\n\n\n\n<p>Now, we multiply these highest powers together to get the LCM:<\/p>\n\n\n\n<p>LCM = 2\u00b2 * 3\u00b2 * 5\u00b2<\/p>\n\n\n\n<p>LCM = 4 * 9 * 25<\/p>\n\n\n\n<p>LCM = 900<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Verify by checking divisibility<\/h3>\n\n\n\n<p>To verify, we check if 900 is divisible by 20, 25, and 45:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>900 \u00f7 20 = 45<\/li>\n\n\n\n<li>900 \u00f7 25 = 36<\/li>\n\n\n\n<li>900 \u00f7 45 = 20<\/li>\n<\/ul>\n\n\n\n<p>Since 900 is divisible by all three numbers, the LCM of 20, 25, and 45 is indeed <strong>900<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The least common multiple of 20, 25, and 45 is <strong>900<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-1004.jpeg\" alt=\"\" class=\"wp-image-247368\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The least common multiple of 20 25 and 45 is The Correct Answer and Explanation is: To find the least common multiple (LCM) of 20, 25, and 45, we first need to identify the prime factorization of each number: Step 1: Identify all the prime factors The prime factors involved are 2, 3, and 5. [&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-247367","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/247367","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=247367"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/247367\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=247367"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=247367"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=247367"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}