Can 72 and 20 be the …

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: {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}