Question

Find the smallest square number that is divisible by the 9,10 ?​

Answer 1

Let us find LCM of 4, 9 and 10

4 = 2 x 2

9 = 3 x 3

10 = 5 x 2

So, LCM = 2 2 x 3 2 x 5 = 180

Now the LCM gives us a clue that if 180 is multiplied by 5 then it will become a perfect square.

The Required number = 180 x 5 = 900.

Answer 2

Answer:

Required Least Square number Divisible by 8 , 9 , 10 is 3600.

Step-by-step explanation:

Given Numbers are 8 , 9 , 10.

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

First we find LCM of the given numbers. Then we complete the pair of numbers in the prime factorization of the LCM.

8 = 2 × 2 × 2

9 = 3 × 3

10 = 2 × 5

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

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 Least Square number Divisible by 8 , 9 , 10 is 3600.