Question

НОК() (a;b), если a=2*3*5; b=2*3*17

Answer 1

А= 2*3*5=30

В=2*3*17=102

Нок = 2*3*17*5=510

Answer 2

To find the least common multiple (LCM) of two numbers, we need to identify the highest power of each prime factor that appears in either number. Let's calculate the LCM of a = 2 * 3 * 5 and b = 2 * 3 * 17.

Prime factorization of a: a = 2 * 3 * 5

Prime factorization of b: b = 2 * 3 * 17

To find the LCM, we take the highest power of each prime factor that appears in either number:

Prime factorization of the LCM: LCM = 2 * 3 * 5 * 17

Therefore, the LCM of a and b is 2 * 3 * 5 * 17, which is equal to 510.