Find the least square number which is exactly divisible by each of the number 6,9,15,and20
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Q-Find the least square number which is exactly divisible by each of the number 6,9,15,and20
Ans-Step 1- First we have to take the LCM .
So LCM of 6 , 9 , 15 and 20 is 180.
Step 2- Now we need to prime factorize of 180
We get 2 x 2 x 3 x 3 x 5. only 5 is left out .
Step 3- Now, we will multiply 5 with 180 to get a perfect square.
180 x 5 = 900. So, the least perfect square is 900.
Hope it helps
@PoojaBBSR
Ans-Step 1- First we have to take the LCM .
So LCM of 6 , 9 , 15 and 20 is 180.
Step 2- Now we need to prime factorize of 180
We get 2 x 2 x 3 x 3 x 5. only 5 is left out .
Step 3- Now, we will multiply 5 with 180 to get a perfect square.
180 x 5 = 900. So, the least perfect square is 900.
Hope it helps
@PoojaBBSR
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LCM of 6, 9, 15, 20 is 180
Factorization of 180 = 2*2*3*3*5
Here, smallest number by which it would be multiplied to make it a perfect square is 5
So, 180*5 = 900
So least square no. which is exactly divisible by 6, 9, 15, 20 is 900.
Factorization of 180 = 2*2*3*3*5
Here, smallest number by which it would be multiplied to make it a perfect square is 5
So, 180*5 = 900
So least square no. which is exactly divisible by 6, 9, 15, 20 is 900.
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