Question

Find a number which is divisible by 15,18 and 25 and is a perfect square.

Answer 1

LCM of 15,18 25 is 450
450 X y = x
Putting y=1
x = 450
But it is not a perfect square.
Putting y = 2
x = 900.
Since, 900 is perfect square of 30.
Therefore, 900 is the solution

Answer 2

Answer: 900

Step-by-step explanation:

To find  a number which is divisible by 15,18 and 25 .

First find least common multiple of 15,18 and 25

L.C.M. of  15,18 and 25 =450

and the prime factorization of 450=$2\times3\times3\times5\times5$

It implies 450 is not a perfect square.

To make it perfect square, we need to multiply 2 to 450, we get 900.

Hence, 900 is the number which is divisible by 15,18 and 25 and is a perfect square.