What is the least common multiple of 72 196 and 240?

To find the least common multiple (LCM) of 72, 196, and 240, we first need to prime factorize each number.

72 = 2^3 * 3^2 196 = 2^2 * 7^2 240 = 2^4 * 3 * 5

Next, we take the highest power of each prime factor that appears in any of the factorizations: 2^4 * 3^2 * 5 * 7^2 = 10080.

Therefore, the least common multiple of 72, 196, and 240 is 10080.