To find the least common multiple (LCM) of 28, 55, and 80, you can follow these steps:
Step 1: Prime factorize each number:
28 = 2^2 * 7 55 = 5 * 11 80 = 2^4 * 5
Step 2: Take the highest power of each prime factor:
The prime factorization of the LCM will include 2^4, 5^1, 7^1, and 11^1.
Step 3: Multiply the highest powers together:
2^4 * 5^1 * 7^1 * 11^1 = 2^4 * 5 * 7 * 11 = 6160
Therefore, the least common multiple (LCM) of 28, 55, and 80 is 6160.
