НОК (35,78,99)

To find the least common multiple (LCM) of the numbers 35, 78, and 99, we 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 all the prime factors from the numbers, including duplicates. 5 x 7 x 2 x 3 x 3 x 13 x 11

Step 3: Take the highest power of each prime factor that appears. 5 x 7 x 2 x 3^2 x 13 x 11

Step 4: Multiply all the prime factors together. 5 x 7 x 2 x 9 x 13 x 11

Step 5: Simplify the expression. 5 x 7 x 6 x 13 x 11

Step 6: Calculate the product. LCM(35, 78, 99) = 30,870

So, the least common multiple of 35, 78, and 99 is 30,870.