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Is 392 a perfect cube? If not, find the smallest natural number by which 392 must be multiplied so that the product is a perfect cube.
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Question

Is 392 a perfect cube? If not, find the smallest natural number by which 392 must be multiplied so that the product is a perfect cube.

Answer

LCM(392)=2*2*2*7*7

No, this is not a perfect cube.

after multiplying by 7 we can make it perfect cube

new number=392*7=2744.
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