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 8, 12, 15 and 20.
Answer» Given numbers = 8, 12, 15 and 20 The smallest number divisible by 8, 12, 15 and 20 is their L.C.M. i.e. 120 Resolving the L.C.M. as prime factors we get, 120= 2 × 2 × 2 × 3 × 5 To make it perfect square multiply by 2 × 3 × 5=30 Which implies 120 × 30 = 3600 Least square number which is exactly divisible by 6, 9, 15 and 20 is 3600.

Find the least square number which is exactly divisible by each of the numbers 8, 12, 15 and 20.

Answer»

Given numbers = 8, 12, 15 and 20

The smallest number divisible by 8, 12, 15 and 20 is their L.C.M. i.e. 120

Resolving the L.C.M. as prime factors we get, 120= 2 × 2 × 2 × 3 × 5

To make it perfect square multiply by 2 × 3 × 5=30

Which implies 120 × 30 = 3600

Least square number which is exactly divisible by 6, 9, 15 and 20 is 3600.