НОК(28,55,80)

To find the least common multiple (LCM) of 28, 55, and 80, we can start by finding the prime factorization of each number:

28 can be written as 2^2 * 7 55 can be written as 5 * 11 80 can be written as 2^4 * 5

Now, we need to find the highest power of each prime number that appears in any of the factorizations.

The highest power of 2 that appears is 2^4. The highest power of 7 that appears is 7. The highest power of 5 that appears is 5. The highest power of 11 that appears is 11.

To find the LCM, we multiply these highest powers together:

LCM(28, 55, 80) = 2^4 * 7 * 5 * 11 = 2^4 * 385 = 3080

Therefore, the LCM of 28, 55, and 80 is 3080.