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Can 72 and 20 be the L.C.M and H.C.F of two numbers? Write down the reason. |
| Answer» Question : Can 72 and 20 be the L.C.M and H.C.F of two numbers? Write down the reason.This is a very pathetic question to ask. It really shows that you are not studying well.Solution:\xa0{tex}\\large{\\implies \\boxed{LCM\\times HCF=a\\times b}}{/tex}{tex}\\large{\\implies{72\\times20=a\\times b}}{/tex}{tex}\\large{\\implies{1440=a\\times b}}{/tex}Now, 1440 can be multiple of any two numbers.{tex}\\large{\\implies{\\space\\space1\\times1440=1440 }}\\\\\\large{\\implies{\\space\\space2\\times720\\space\\space=1440 }}\\\\\\large{\\implies{\\space\\space3\\times480\\space\\space=1440 }}\\\\\\large{\\implies{\\space\\space4\\times360\\space\\space=1440}}\\\\\\large{\\implies{\\space\\space5\\times288\\space\\space=1440}}\\\\\\large{\\implies{\\space\\space6\\times240\\space\\space=1440}}\\\\\\large{\\implies{\\space\\space8\\times180\\space\\space=1440}}\\\\\\large{\\implies{\\space\\space9\\times160\\space\\space=1440 }}\\\\\\large{\\implies{10\\times144\\space\\space=1440 }}\\\\\\large{\\implies{12\\times120\\space\\space=1440 }}\\\\\\large{\\implies{15\\times96\\space\\space\\space\\space=1440 }}\\\\\\large{\\implies{16\\times90\\space\\space\\space\\space=1440 }}\\\\\\large{\\implies{18\\times80\\space\\space\\space\\space=1440 }}\\\\\\large{\\implies{20\\times72\\space\\space\\space\\space=1440 }}\\\\\\large{\\implies{24\\times60\\space\\space\\space\\space=1440 }}\\\\\\large{\\implies{30\\times48\\space\\space\\space\\space=1440 }}\\\\\\large{\\implies{32\\times45\\space\\space\\space\\space=1440 }}\\\\\\large{\\implies{36\\times40\\space\\space\\space\\space=1440 }}\\\\{/tex} | |