{"id":10374,"date":"2022-04-04T00:34:38","date_gmt":"2022-04-03T19:04:38","guid":{"rendered":"https:\/\/mathemerize.com\/?p=10374"},"modified":"2022-04-05T18:23:22","modified_gmt":"2022-04-05T12:53:22","slug":"find-the-l-c-m-and-h-c-f-of-the-following-pairs-of-integers-and-verify","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/find-the-l-c-m-and-h-c-f-of-the-following-pairs-of-integers-and-verify\/","title":{"rendered":"Find the L.C.M and H.C.F of the following pairs of integers and verify :"},"content":{"rendered":"

Question<\/strong> : Find the L.C.M and H.C.F of the following pairs of integers and verify :<\/p>\n

L.C.M \\(\\times\\) H.C.F = Product of the two numbers<\/p>\n

(i)  26 and 91<\/p>\n

(ii)  510 and 92<\/p>\n

(iii)  336 and 54<\/p>\n

Solution<\/strong> : <\/p>\n

(i) <\/strong> 26 and 91<\/p>\n

26 = 2 \\(\\times\\) 13        and       91 = 7 \\(\\times\\) 13<\/p>\n

\\(\\therefore\\)   L.C.M of 26 and 91 = 2 \\(\\times\\) 7 \\(\\times\\) 13 = 182<\/p>\n

and H.C.F of 26 and 91 = 13<\/p>\n

Now,    182 \\(\\times\\) 13 = 2366  and   26 \\(\\times\\) 91 = 2366<\/p>\n

Hence,    182 \\(\\times\\) 13 = 26 \\(\\times\\) 91<\/strong><\/p>\n

(ii) <\/strong> 510 and  92<\/p>\n

510 = 2 \\(\\times\\) 3 \\(\\times\\) 5 \\(\\times\\) 17      and       92 = 2 \\(\\times\\) 2 \\(\\times\\) 23<\/p>\n

\\(\\therefore\\)   L.C.M of 510 and 92 = 2 \\(\\times\\) 2 \\(\\times\\) 3 \\(\\times\\) 5 \\(\\times\\) 17 \\(\\times\\) 23 = 23460<\/p>\n

and H.C.F of 510 and 92 = 2<\/p>\n

Now,    23460 \\(\\times\\) 2 = 46920  and   510 \\(\\times\\) 92 = 46920<\/p>\n

Hence,    23460 \\(\\times\\) 2 = 510 \\(\\times\\) 92<\/strong><\/p>\n

(iii) <\/strong> 336 and 54<\/p>\n

336 = 2 \\(\\times\\) 2 \\(\\times\\) 2 \\(\\times\\) 2 \\(\\times\\) 3 \\(\\times\\) 7<\/p>\n

and       54 = 2 \\(\\times\\) 3 \\(\\times\\) 3 \\(\\times\\) 3<\/p>\n

\\(\\therefore\\)   L.C.M of 336 and 54 = 2 \\(\\times\\) 2 \\(\\times\\) 2 \\(\\times\\) 2 \\(\\times\\) 3 \\(\\times\\) 3 \\(\\times\\) 3 \\(\\times\\) 7 = 3024<\/p>\n

and H.C.F of 336 and 54 = 2 \\(\\times\\) 3 = 6<\/p>\n

Now,    3024 \\(\\times\\) 6 = 18144  and   336 \\(\\times\\) 54 = 18144<\/p>\n

Hence,    3024 \\(\\times\\) 6 = 336 \\(\\times\\) 54<\/strong><\/p>\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Question : Find the L.C.M and H.C.F of the following pairs of integers and verify : L.C.M \\(\\times\\) H.C.F = Product of the two numbers (i)  26 and 91 (ii)  510 and 92 (iii)  336 and 54 Solution :  (i)  26 and 91 26 = 2 \\(\\times\\) 13        and       91 …<\/p>\n

Find the L.C.M and H.C.F of the following pairs of integers and verify :<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","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":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,909],"tags":[],"yoast_head":"\nFind the L.C.M and H.C.F of the following pairs of integers and verify : - Mathemerize<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/find-the-l-c-m-and-h-c-f-of-the-following-pairs-of-integers-and-verify\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Find the L.C.M and H.C.F of the following pairs of integers and verify : - 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