Question

find the smallest square number divisible by each of number 8,9,10

Answer 1

Answer:

Required number is 3600.

Step-by-step explanation:

Given = 8 , 9 , 10.

We need to find Smallest Square number divisible by given numbers.

Prime Factorization of 8 , 9 , 10

8 = 2 × 2 × 2

9 = 3 × 3

10 = 2 × 5

LCM of 8 , 9 , 10 = 2 × 2 × 2 × 3 × 3 × 5 = 360

Now to find least Square number we complete the pairs.

one 2 and one 5 is need to complete the pair.

We get, Least Square number = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 3600

Therefore, Required number is 3600.