To find the least common multiple (LCM) of 28, 55, and 80, you can use the prime factorization method.
Step 1: Find the prime factorization of each number.
28 = 2^2 * 7 55 = 5 * 11 80 = 2^4 * 5
Step 2: Identify the highest power of each prime factor that appears in any of the numbers.
The highest power of 2 is 2^4. The highest power of 5 is 5. The highest power of 7 is 7. The highest power of 11 is 11.
Step 3: Multiply all the highest powers of the prime factors together.
2^4 * 5 * 7 * 11 = 3,080
So, the least common multiple (LCM) of 28, 55, and 80 is 3,080.
