Question

Find the least square number exactly divisible by each one of the number

a) 6,9,15,20
b) 8,12,15,20
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Answer 1

Answer:

a) Take the L.C.M of 6,9,15,20

It's L.C.M would be 180.

Do Prime factorization of 180 which would be 2×2×3×3×5

In order to make 180 a square number, we need to multiply it by 5.

Hence, the smallest square number which is divisible by 3,9,15,20 = 180×5=900

b) L.C.M of 8,12,15,20 would be 120

Prime factorization of 120= 2×2×2×3×5

In order to make 120 a square number, we need to multiply it by 2×3×5

Hence, the smallest square number which is divisible by 8,12,15,20 = 120×2×3×5 = 3600.