Question

find the smallest esauare number which is
exactly
divisible by
8, is, and 20 please show me full division please ​

Answer 1

Answer:

no smallest square  number that is divisible by 8,12,15,20 but there can 3600 which is not small.

First let's find the LCM of 8,12,15,and 20.

8=2×2×2

12=2×2×3

15=3×5

20=2×2×5

So the LCM is 2×2×2×3×5=120

Here is 2,3,5, are not in pairs, we need to in pairs for smallest square number.

120×2×3×5=120×30=3600.

Hence the number is 2×2×2×2×3×3×5×5=3600.

3600 is the right answer.