What is the least common multiple of 48 84 and 144?

To find the least common multiple (LCM) of 48, 84, and 144, we first need to find the prime factorization of each number.

48 = 2^4 * 3 84 = 2^2 * 3 * 7 144 = 2^4 * 3^2

Next, we take the highest power of each prime factor that appears in any of the numbers: 2^4, 3^2, 7.

Multiplying these together, we get LCM(48, 84, 144) = 2^4 * 3^2 * 7 = 2016.

Therefore, the least common multiple of 48, 84, and 144 is 2016.