Question

find the smallest square number that is divisible by each of the number 8,15 and 20​

Answer 1

Answer:

The number that is perfectly divisible by each of the numbers 8, 15, and 20 is their LCM. Here, prime factors 2, 3, and 5 do not have their respective pairs. Therefore, 120 is not a perfect square

Step-by-step explanation:

Let us find LCM of 8,15 and 20

8=2×2×2

15=3×5

20=2×2×5

So, LCM =2×2×2×3×5=120.

For nos which are not in pairs in LCM factors, we need to multiply 120 by 2, 3 and 5 to make it a perfect square.

Required Number =120×2×3×5=3600