The highest common factor of 108, 72 and 5a is a. What can be the least common multiple of 108, 72 and a?<\/p>\n\n\n\n
a) 108<\/p>\n\n\n\n
b) 216<\/strong><\/p>\n\n\n\n c) 72<\/p>\n\n\n\n d) 36<\/p>\n\n\n\n Sol:<\/p>\n\n\n\n Given: <\/p>\n\n\n\n HCF of 108, 72 and 5a = a <\/p>\n\n\n\n Calculation: <\/p>\n\n\n\n \u21d2 108 = 72 \u00d7 1 + 36 <\/p>\n\n\n\n \u21d2 72 = 36 \u00d7 2 + 0 <\/p>\n\n\n\n \u21d2 Third number = 5a = 5 \u00d7 36 = 180<\/p>\n\n\n\n \u21d2 Now, we got a = 36 <\/p>\n\n\n\n \u21d2 108 = 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3 <\/p>\n\n\n\n \u21d2 72 = 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3 <\/p>\n\n\n\n \u21d2 36 = 2 \u00d7 2 \u00d7 3 \u00d7 3 <\/p>\n\n\n\n \u21d2 LCM of 108, 72 and 36 = 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 2 = 216<\/p>\n\n\n\n Therefore, the LCM of 108, 72 and a is 216, where a is 36.<\/p>\n","protected":false},"excerpt":{"rendered":" The highest common factor of 108, 72 and 5a is a. What can be the least common multiple of 108, 72 and a? a) 108 b) 216 c) 72 d) 36 Sol: Given: HCF of 108, 72 and 5a = a Calculation: \u21d2 108 = 72 \u00d7 1 + 36 \u21d2 72 = 36 \u00d7 2 + […]<\/p>\n","protected":false},"author":419,"featured_media":165498,"comment_status":"open","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-4)","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-4)","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-4)","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":[5138],"tags":[5139],"class_list":["post-165497","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165497","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=165497"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165497\/revisions"}],"predecessor-version":[{"id":165499,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165497\/revisions\/165499"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/165498"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=165497"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=165497"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=165497"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}