Question

lets work out to find least square number other than 0, which is Divisible by 12,16,20,24.​

Answer 1

Answer:3600

Step-by-step explanation:The lowest perfect squared number that is divisible by 12,16,20,24 is 3600

1. Let's find the L.C.M

    12 = 2×2×3

    16 = 2×2×2×2

    20 = 2×2×5

    24 = 2×2×2×3

The  L.C.M is  2×2×2×2×3×5 = 240

2. Now, the L.C.M 240 is not a perfect square.

3.Therefore to obtain a  lowest perfect square the given number should be should have another 3 and 5 as the factor.

4. So, multiplying 240 by 15 we, get  3600 which is a perfect square and it can be divided by 12,16,20,24.

5. 3600 is the square of 60.

6.Therefore, the lowest perfect square  that is divisible by 12,16,20,24 is 3600

Answer 2

Answer:

the least perfect square number=3600.