Choose the correct option. What is the LCM of 55, 80, and 120?Select one:a. 2640b. 2860c. 3450d. 2340

To find the least common multiple (LCM) of 55, 80, and 120, follow these steps:

1. Prime factorize each number:

   • 55 = 5 * 11
   • 80 = 2^4 * 5
   • 120 = 2^3 * 3 * 5

2. For each prime number in all the factorizations, choose the highest power of that prime number:

   • For 2, the highest power is 4 (from 80), so choose 2^4.
   • For 3, the highest power is 1 (from 120), so choose 3.
   • For 5, the highest power is 1 (from all three numbers), so choose 5.
   • For 11, the highest power is 1 (from 55), so choose 11.

3. Multiply all the chosen numbers together:

   • 2^4 * 3 * 5 * 11 = 2640

So, the LCM of 55, 80, and 120 is 2640. Therefore, the correct option is (a) 2640.