Question

Find the smallest perfect square which is divisible by 6,12,15 and also find its square root. I will mark brainliest ​

Answer 1

Answer:

The no. is 900 and it's square root is 30 .

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Answer 2

Take LCM of (6,12 and 15) = 60

Resolving 60 into prime factors, we get

60 = 2*2*3*5

Here 2 is grouped in pairs of equal factors. But 3 and 5 are not grouping in pairs of equal factors.

Let us multiply 3 and 5 , we get a grouped in pairs of equal factors.

60*3*5 = 2*2*3*3*5*5

900=2*2*3*3*5*5

Now 900 is perfect square that is divisible by 6, 12, and 15.

It square root is 30