Question

Find the least perfect square exactly divisible by each of the numbers 4,5,10

Answer 1

To find the number, first we have to take L.C.M of 4,5,10

LCM (4,5,10) =20

20=2×5×2

As 5 does not in pair, we multiply 20 by 5 to make it perfect square

20×5=100

So, the no. is 100

Answer 2

Concept:

Least perfect square can be calculated by finding the least common multiple of the numbers and then making t a perfect square.

Given:

We are given the numbers:

4, 5 and 10

Find:

We need to find the least perfect square exactly divisible by each of the numbers

Solution:

We will first find the L.C.M of 4,5,10:

LCM (4,5,10) =20

Now, we can see that:

20=2×5×2

It is not a perfect square as 5 does not form a pair.

So, we multiply 20 by 5 to make it a perfect square:

20×5=100

So, the least perfect square is 100.

Therefore, the least perfect square which is exactly divisible by each of the numbers 4, 5 and 10 is 100.

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