Find the least square number which is exactly divisible by each of the

1.	Find the least square number which is exactly divisible by each of the numbers 6, 9, 15 and 20.
Answer» We know that, The smallest number that is divisible by each o0f these numbers is their L.C.M So, L.C.M of 6, 9, 15, 20 = 180 Resolving into prime factors, we get 180 = 2 × 2 × 3 × 3 × 5 So, for making it a perfect square we have to multiply it by 5 Multiplying the number by 5, we get Required number = 180 × 5 = 900

Find the least square number which is exactly divisible by each of the numbers 6, 9, 15 and 20.

Answer»

We know that,

The smallest number that is divisible by each o0f these numbers is their L.C.M

So,

L.C.M of 6, 9, 15, 20 = 180

Resolving into prime factors, we get

180 = 2 × 2 × 3 × 3 × 5

So, for making it a perfect square we have to multiply it by 5

Multiplying the number by 5, we get

Required number = 180 × 5

= 900