Question

The least number by which 3² X 7² X5 Should be multiplied to make the resulting product a perfect cube is ​

Answer 1

3 × 7 × 5² = 525

Explanation:

in order to be perfect cube, the power of every PRIME factor has to be a multiple of 3

the least number should be = 3³ × 7³ × 5³

3³ × 7³ × 5³ = (3² × 7² × 5)(3 × 7 × 5²)

So the answer is 3 × 7 × 5² = 525