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Question

If the product of two numbers is 864 and their H.C.F. is 12, then find their L.C.M.


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Solution

Finding the L.C.M.

Product of two numbers =864

H.C.F =12

L.C.M.×H.C,F =Product of two numbers

L.C.M.=ProductoftwonumbersH.C.F

L.C.M.=86412=72

Hence, the L.C.M. of the given numbers is 72.


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