Math, asked by swati2129, 5 hours ago

Find the smallest square which is divisible by 6,8,9 ans is 144

Answers

Answered by alanw1656
3

Step-by-step explanation:

Since, we wanted smallest perfect square number divisible by 6, 9 and 15.

So, we calculated LCM by prime factorisation.

LCM = 90

But, 2 and 5 are not in pair.

Therefore, to make it perfect square no. multiply 2 × 5 to LCM (90).

= 90 × 2 × 5

= 90 × 10

= 900

Hence,

Required smallest square no. that's divisible by 6, 9 and 15 = 900

Answered by priti7961
3

Answer:

Right Answer is: B

The LCM of 6, 8 and 9 is 72. To make this a perfect square, we multiply this by 2 to make it a perfect square. Hence, we have 72 × 2 = 144.

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