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