Question

Find the smallest square number which is divisible by each of yhe number 5 ,12,15

Answer 1

Answer:

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Step-by-step explanation:

The smallest square number which is divisible by each of the given number is:

First,find the hcf of 8,12,15 and 20

8=2×2×2=2³

12=2×2×3=2²×3

15=3×5

20=2×2×5=2²×5

a number which is divisible by each of them should contain

2³x3x5

If it is a perfect square number,it should have even powers.

So,

2⁴×3²×5²=16×9×25

=3600

So,the answer is 3600