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Question
Can two numbers have 12 as their HCF and 512 as their LCM? Justify your answer.
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Solution
No, they cannot have 512 as their L.C.M.
We know that the H.C.F. is one of the factors of the L.C.M. Here, 3, which is a factor of 12, is not a factor of 512.
We know that the H.C.F. is one of the factors of the L.C.M. Here, 3, which is a factor of 12, is not a factor of 512.
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