Question

find the smallest perfect square that is divisible by 15,20
and 25​

Answer 1

Answer:

15 is the perfect square for these.

Answer 2

Answer:

Step-by-step explanation:

First we have to find the LCM of the given numbers.

12 = 2 x 2 x 3 = 2 ^2 x 3

15 = 3 x 5

20 = 2 x 2 x 5 = 2^2 x 5

LCM = 2^2 X 3 X 5 = 60

But 60 is not a perfect square, every prime factor in the LCM is not a perfect square except 2.

We have to multiply those prime factors of LCM itself once which are not perfect squares, which are 3 and 5.

2^2 x 3 x 3 x 5 x 5

so the smallest number which is divisible by the given numbers and a perfect square would be

2^2 x 3^2 x 5^2= 900