Find the smallest perfect square divisible by 3, 4, 5 and 6

Solution:

We have to find the smallest perfect square divisible by 3, 4, 5 and 6.

The least number divisible by 3, 4, 5 and 6 is their LCM.

Now, LCM of 3, 4, 5 and 6 = 2 × 2 × 2 × 3 × 5

= 60 

We observe that 3 and 5 do not occur in pairs.

So, 60 is not a perfect square.

Now, 60 must be multiplied by 5 × 3 to get a perfect square

= 60 × 3 × 5

= 60 × 15

= 900

Therefore, 900 is a perfect square.

✦ Try This: Find the smallest perfect square divisible by 4, 5, 6 and 9.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Sample Problem 27

Find the smallest perfect square divisible by 3, 4, 5 and 6

Summary:

The smallest perfect square divisible by 3, 4, 5 and 6 is 900

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