Let’s take an example to do it

##
**
What
**
**
is the smallest
**
**
square number which is divisible by
**
**
2, 4,
**
**
6?
**

We saw that

Smallest number divisible by 2, 4, 6 = LCM of 2, 4, 6

But, we need to find the
**
smallest square number
**

So,

- We check if LCM is a perfect square
- If its not, then we find the smallest number multiplied to it so that it becomes a perfect square

####
**
LCM of 2, 4, 6
**

**
**

LCM of 2, 4, 6 = 2 × 2 × 3

= 12

Now, checking if 12 is a perfect square or not

####
**
Checking if
**
**
12
**
**
is a perfect square
**

We see that ,

12 = 2 × 2 × 3

Since 3 does not occur in pairs,

It is not a perfect square

So, we need to find a number to multiply to make pairs

We multiply by 3

So, our number becomes

**
12 × 3 = 2 × 2 × 3 × 3
**

**
**

So, it becomes a perfect square

∴ Smallest square number which is divisible by 2, 4, 6 is
**
36
**

Thus, we can write

Smallest square number divisible by 2, 4, 6

= LCM of 2, 4, 6

OR

Multiple of LCM

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