Question

Find the least square number which is exactly divisible by each of the numbers 6,9,15and20

Answer 1

2 is the right answer

Answer 2

Answer:

The least square number which is exactly divisible by each of the numbers 6,9,15 and 20 is 900.

Step-by-step explanation:

To find : The least square number which is exactly divisible by each of the numbers 6,9,15 and 20?  

Solution :  

We find the LCM of 6,9,15 and 20.

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

$LCM(15,27,35,42)=2\times 2\times 3\times 3\times 5$  

$LCM(15,27,35,42)=2^2\times 3^2\times 5$  

To make it perfect square we need to multiply it by 5

$180\times 5=900$  

Therefore, The least square number which is exactly divisible by each of the numbers 6,9,15 and 20 is 900.