Question

Example 2: 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 1

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

Therefore, No, this is not a perfect cube.

After multiplying by 7 we can make it perfect cube, new number=392*7=2744.