НОК (35,78,99)

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

Step 1: Find the prime factorization of each number. 35 = 5 x 7 78 = 2 x 3 x 13 99 = 3 x 3 x 11

Step 2: Write down the highest power of each prime factor. The highest power of 2 is 2^1 = 2. The highest power of 3 is 3^2 = 9. The highest power of 5 is 5^1 = 5. The highest power of 7 is 7^1 = 7. The highest power of 11 is 11^1 = 11. The highest power of 13 is 13^1 = 13.

Step 3: Multiply all the prime factors from Step 2. 2 x 3^2 x 5 x 7 x 11 x 13 = 30030

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