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The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M.?

The correct choice is: 60 The H.C.F. always divides the L.C.M., so the L.C.M. must be a multiple of 8. 24, 48 and 56 are multiples of 8 (e.g. 8 and 24, 16 and 24, 8 and 56),…

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The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M.?

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Answer and explanation

Correct answer D

The correct choice is: 60

The H.C.F. always divides the L.C.M., so the L.C.M. must be a multiple of 8.

24, 48 and 56 are multiples of 8 (e.g. 8 and 24, 16 and 24, 8 and 56), but 60 is not.

Hence the answer is 60.

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