НОК(28,55,80)

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: Identify the highest power of each prime factor that appears in any of the numbers.

The highest power of 2 is 4 (from 80). The highest power of 7 is 1 (from 28). The highest power of 5 is 1 (from 55). The highest power of 11 is 1 (from 55).

Step 3: Multiply all the prime factors with their respective highest powers found in the previous step.

2^4 * 7 * 5 * 11 = 2^4 * 7 * 5 * 11 = 3080

Therefore, the least common multiple (LCM) of 28, 55, and 80 is 3080.