Question

find least square number which is exactly divisible by each of the numbers 6, 9, 15 and 20.​

Answer 1

Thus, the least square number which is exactly divisible by 6, 9, 15 and 20 is 900.

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Answer 2

Answer

6=2×3

9=3+3

15=3×5

20=2×2×5

lcm = 180

180 is not perfect square no.

we have take multiple of 180 which perfect square no.

180×2=360

360 is not perfect sq no.

180×3=540

540 is mot perfect sq

180×4=720

it is also not perfect sq

180×5=900

900 is sq of 30

therefore 900 is the least sq no. which is divisible by 6,9,15,20