Question

Find the least perfect square Exactly divisible
by each one of the numbers 6,9,10, 15 and 20​

Answer 1

Answer:

Step-by-step explanation:

The LCM of the numbers is what we have to find first.

2 | 6,9,15,20

2 | 3,9,15,10

3 | 3,9,15,5

3 |1,3,5,5

5 |1,1,5,5

  |1,1,1,1

So now multiply these numbers=2*2*3*3*5

                                                 =180

Because this is not a perfect square we will do prime factorization of the 

number.

2 | 180

2 | 90

3 | 45

3 | 15

5 | 5

  | 1

To get a perfect square we will now need pairs of factors.

As we can see that we don't have pair of 5 , so we will multiply 180 by 5.

180*5=3600 

Therefore 3600 is the perfect square and the smallest perfect square exactly divisible by 6,9,15 and 20.