Question

find the smallest square number that is divisible by each of the following numbers:(1) 3,6,10,15

Answer 1

The smallest number divisible by a set of numbers is their LCM.

given set of numbers is 3, 6, 10 and 15

3 = 3

6= 2×3

10 = 2×5

15 = 3×5

LCM = 2×3×5 = 30

So smallest number divisible by 3,6,10 and 15 is 30

Smallest square number = 30^2 = 900

Thus, the smallest square number that is divisible by 3,6, 10 and 15 is 900

Answer 2

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