Question

Find the least square number which is exactly divisible by each of the numbers 8,12,15 and 20.

Answer 1

from the following data it is clear that the answer must contain a zero
let's find LCM of 8,12,15 and 20.
It is 120
but is not a square number
but our answer must be a multiple of 120.
let's try
120×2=240
120×3=360
..........
120×30=3600
this is a perfect square.
so it is our answer.

if option are given then we don't need this process.
we can use check and trial method

Answer 2

Heya Friend ☺

Here we all need to find the LCM of these numbers
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$8 = 2 \times 2 \times 2 = {2}^{3} \\ 12 = 2 \times 2 \times 3 = {2}^{2} \times 3 \\ 15 = 3 \times 5 \\ 20 = 2 \times 2 \times 5 = {2}^{2} \times 5$
Now Taking LCM
${2}^{2} \times 3 \times 5 \times 5 \\ = 300$
Hope it helps you ☺