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Can two numbers have 12 as their HCF and 512 as their LCM? Justify your answer. - Mathematics

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Question

Can two numbers have 12 as their HCF and 512 as their LCM? Justify your answer.

Sum
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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. 

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Chapter 2: Factors and Multiples - Test Paper 2 [Page 43]

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R.S. Aggarwal Mathematics [English] Class 6
Chapter 2 Factors and Multiples
Test Paper 2 | Q 10 | Page 43
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