by what number should 512 be devided so tha the product is a perfect cube
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first of all we have to take LCM of 512
the LCM is 2×2 ×2×2×2×2×2×2×2
so, we have 2^3×2^3×2^3
therefore we are having all the numbers in pairs of 3 .
therefore it is already a cube of 3×3×3
ie 27
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