Question

find the smallest square number which is completely divisible by each of the numbers 10 ,16 and 24​

Answer 1

3600

Step-by-step explanation:

10 = 5 × 2

16 = 2 × 2 × 2 × 2

24 = 2 × 2 × 2 × 3

Smallest number divisible by 10 , 16 and 24 is

N = 2 × 2 × 2 × 2 × 3 × 5

But N is not a perfect square because 3 and 5 are present in N in odd powers.

Minimum N = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 3600

The minimum required N is 3600

plz mark me as Brainlist