Question

find a least perfect square for6,9,15,20

Answer 1

Step-by-step explanation:

Given numbers = 6, 9, 15 and 20

The smallest number divisible by 6, 9, 15 and 20 is their L.C.M.

i.e. 180 Resolving the L.C.M. as prime factors we get, 180= 2 × 2 × 3 × 3 × 5

To make it perfect square multiply by 5

then it becomes, 180= 2 × 2 × 3 × 3 × 5 × 5

Which implies 180 × 5 = 900

Least square number

which is exactly divisible by 6, 9, 15 and 20 is 900.