Question

Find the least square number which is divisible by 8 9 10 and 15 please write write it in a paper and please put it into brainly and you will put this first I will mark them as brainliest​

Answer 1

Answer:

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Answer 2

Question

Find the least square number which is divisible by 8, 9, 10 and 15 .

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Answer

First we will find the LCM of 8, 9, 10 and 15.

$\begin{array}{r | l} 2 & 8,9,10,15\\ \cline{2-2} 2 & 4,9,5,15 \\ \cline{2-2} 2 & 2,9,5,15 \\ \cline{2-2} 3 & 1,9,5,15 \\ \cline{2-2} 3&1,3,5,5\\ \cline{2-2} 5 &1,1,5,5\\ \cline{2-2}&1,1,1,1 \end{array}$

LCM of 8, 9, 10 and 15 is 2×2×2×3×3×5

Now we have to pair the product of primes.

(2×2)×2×(3×3)×5

∴This is not a perfect square. To make it a perfect square we must multiply 10 (2×5)  to the number.

Let's put a 2 and 5 in the product of primes.

(2×2)×(2×2)×(3×3)×(5×5) = 3600

∴ 3600 is the least square number which is divisible by 8, 9, 10 and 15.

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