Answer:

i have the answer to this question

What is the least perfect square number which is divisible by each of numbers 8, 12, 15, and 20?

Step-by-step explanation:

8=23  

12=22∗3

15=3∗5

20=22∗5

So choosing the maximum of all the prime exponents that exist in the numbers above, we have,

LCM = 23∗3∗5=120

Now, I will use an approach which others have not used to get to the least perfect square.

120 = 23∗3∗5

Now in a perfect square, ALWAYS, exponent of each prime is always even.

So, we will change the exponent of 2 from 3 to 4.

We will change the exponent of 3 from 1 to 2.

We will change the exponent of 5 from 1 to 2.

Finally we have the number 24∗32∗52=3600.

So, required answer is 3600.

Answer:

Okay angel from now we are friends....

^_^