Question

find the smallest perfect square that is exactly divisible by 12, 15 and 20.​

Answer 1

Answer:

And

Step-by-step explanation:

1.So, the smallest number divisible by all 6,12 and 18 is 18. But here a condition is given. The number is to be smallest perfect square divisible by the said numbers. So,we are to find a perfect square number which is a least multiple of 18.

2.L.C.M. of 15 and 21 is 105. so if we want to find a perfect square it must be a multiple of 105. as we know for being a number to square it must have pair of prime numbers in its factor. it it have pair then it is called a perfect square and if not then it is not a perfect square.

3.Therefore, is the smallest perfect square that is divisible by , , and . So 3600 is the smallest perfect square divisible by 12, 16 and 20.