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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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प्रश्न

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

योग

उत्तर

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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अध्याय 2: Factors and Multiples - Test Paper 2 [पृष्ठ ४३]

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आरएस अग्रवाल Mathematics [English] Class 6
अध्याय 2 Factors and Multiples
Test Paper 2 | Q 10 | पृष्ठ ४३

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