What is the least perfect square number which is divisible by each of numbers 8 12 15 and 20 ........

Quantitative Aptitude (SBI-PO) Number System

What is the least perfect square number which is divisible by each of numbers 8, 12, 15, and 20?

3600

10000

9000

none of these

First we need to find the LCM of the given numbers i.e. 8,12,15 and 20

LCM = 2 * 2 * 2 * 5 * 3 = 120

As 2,3,5 are not in pairs, we need to multiply the LCM with 2 * 3 * 5 = 30

i.e. 120 * 30

least perfect square number which is divisible by each of numbers 8, 12, 15, and 20

= 120 * 30 = 3600

Hence, option 1 is the correct answer.

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