НОК (35,78,99)

To find the least common multiple (LCM) of the numbers 35, 78, and 99, you can use different methods. Here's one way to find it:

Step 1: Prime factorize each number: 35 = 5 * 7 78 = 2 * 3 * 13 99 = 3 * 3 * 11

Step 2: Identify the maximum power of each prime factor: 5 appears once. 7 appears once. 2 appears once. 3 appears twice. 11 appears once. 13 appears once.

Step 3: Multiply the highest powers of each prime factor together: 5 * 7 * 2 * 3^2 * 11 * 13

Step 4: Calculate the product: 5 * 7 * 2 * 9 * 11 * 13 = 150,270

Therefore, the least common multiple of 35, 78, and 99 is 150,270.