Question

Find the least square number which is actually divisible by 16 18 and 45

Answer 1

Hey there !

Solution:

Let us first arrive at the LCM of 16, 18 and 45.

16 = 2 × 2 × 2 × 2

18 = 2 × 3 × 3

45 = 3 × 3 × 5

We know that LCM = Highest powers multiplied

=> LCM = 2⁴ × 3² × 5 = 720

Here we can write it as 2² × 2² × 3² × 5 = 720.

In the above factor form, only 5 is aloe without any power of 2. So let us multiply by 5 so that we get a perfect square.

=> 720 × 5 = 3600

Hence the least perfect square number which is actually divisible by 16, 18, 45 is 3600.

Hope my answer helped !

Answer 2

here is your answer OK

We have to find the Lcm of 16, 18 ,& 45
16= 2×2×2×2
18= 2×3×3
45= 3× 3×5
LCM =2²× 2²× 3²×5 = 720

5 is not in pair so we should multiply 720 by 5 to get a required number

720× 5 = 3600

Hence the required least number which is a perfect Square is 3600.

Hope this will help you...