Question

Find the least square number which is exactly the viable by each of the number 8 12 15 and 20​

Answer 1

Answer: Smallest Square Number exactly divisible by 8,12,15 and 20 is 3600

Answer 2

Answer:

please mark my answer as a brainliest answer please please ....

step by step:

8=2power3

12=2power2 × 3

15=3×5

20=2power2 × 5

choose the maximum of all the prime exponent

LCM = 2power3×3×5 = 120

Now, 120 = 2power3×3×5

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

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

and exponent of 3 from 1 to 2 and exponent of 5 from 1 to 2.

Finally we have the number

2power4 × 3power2 × 5power2 =3600

So the required answer is 3600