what is the LCM of 12, 20, 24

2 answers

12 = 2^2 * 3
20 = 2^2 * 5
24 = 2^3 * 3
so, the LCM must be divisible by the highest power of each prime factor
LCM = 2^3 * 3 * 5 = 120
The least common multiple of 12, 20 and 24 is 120.