НОК(28,55,80)

To find the least common multiple (LCM) of the numbers 28, 55, and 80, you need to find the smallest number that is divisible by all three of these numbers without leaving a remainder.

First, you can start by finding the prime factors of each number: 28 = 2² * 7 55 = 5 * 11 80 = 2⁴ * 5

Next, you can take the highest power of each prime factor that appears in any of the numbers: the highest power of 2 is 2⁴ the highest power of 5 is 5¹ the highest power of 7 is 7¹ the highest power of 11 is 11¹

Finally, you can multiply these together to find the LCM: LCM(28, 55, 80) = 2⁴ * 5¹ * 7¹ * 11¹ = 16 * 5 * 7 * 11 = 6160

Therefore, the least common multiple of 28, 55, and 80 is 6160.