What is the LCM of 72 144 and 216?

To find the Least Common Multiple (LCM) of 72, 144, and 216, we first need to prime factorize each number.

72 = 2^3 * 3^2 144 = 2^4 * 3^2 216 = 2^3 * 3^3

Then, we take the highest power of each prime factor that appears in any of the numbers. So, the LCM of 72, 144, and 216 is 2^4 * 3^3 = 288.