НОК (35,78,99)

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

Step 1: Prime factorize each number.

35 = 5 * 7 78 = 2 * 3 * 13 99 = 3 * 3 * 11

Step 2: Identify the highest power of each prime factor.

5 appears only in 35. 7 appears only in 35. 2 appears only in 78. 3 appears in 78 and 99, but the highest power is 3^2. 11 appears only in 99. 13 appears only in 78.

Step 3: Multiply all the highest powers together.

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

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