НОК (35,78,99)

To find the least common multiple (LCM) or НОК of the numbers 35, 78, and 99, you can follow these steps:

1. Find the prime factorization of each number:

   • Prime factorization of 35: 5 * 7
   • Prime factorization of 78: 2 * 3 * 13
   • Prime factorization of 99: 3 * 3 * 11

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

   • Prime factors: 2, 3, 5, 7, 11, 13
   • Highest powers: 2^1, 3^2, 5^1, 7^1, 11^1, 13^1

3. Multiply all the highest powers together: LCM = 2^1 * 3^2 * 5^1 * 7^1 * 11^1 * 13^1 = 2 * 9 * 5 * 7 * 11 * 13 = 15015

Therefore, the least common multiple (LCM) or НОК of 35, 78, and 99 is 15015.