Question

Find the smallest square number which is exactly divisible by each of the
numbers 6, 9 and 15.
Please answer the question step-by-step.

Answer 1

the smallest square number that can be divided by 6, 9 and 15 is 900.

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Answer 2

Answer:

900

Step-by-step explanation:

Smallest/ least number divisible by 6,9,15 is it's LCM

i.e.

LCM=2×2×3×3×5=180

On resolving 180 into prime factors 180.

=2×2×3×3×5

Therefore, there is no factor to form pair of 5 so to make it a perfect square so we multiply 180 with 5 to get 900.

Hence least square number divisible by 6,9,15 is 900.