НОК (35,78,99)

To find the least common multiple (LCM) of the numbers 35, 78, and 99, we can use the prime factorization method.

First, let's find the prime factorization of each number: 35 = 5 * 7 78 = 2 * 3 * 13 99 = 3 * 3 * 11

Next, we take the highest power of each prime factor that appears in any of the numbers:

5 * 7 * 2 * 3 * 3 * 13 * 11 = 2 * 3^2 * 5 * 7 * 11 * 13 = 30030

Therefore, the least common multiple (LCM) of 35, 78, and 99 is 30030.