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: Identify the prime factors of each number.

Prime factors of 35: 5 and 7 Prime factors of 78: 2, 3, and 13 Prime factors of 99: 3 and 11

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

Highest power of 2: 1 Highest power of 3: 1 Highest power of 5: 1 Highest power of 7: 1 Highest power of 11: 1 Highest power of 13: 1

Step 3: Multiply together all the prime factors raised to their highest powers.

LCM(35, 78, 99) = 2^1 * 3^1 * 5^1 * 7^1 * 11^1 * 13^1

LCM(35, 78, 99) = 2 * 3 * 5 * 7 * 11 * 13

LCM(35, 78, 99) = 180,180

Therefore, the least common multiple of 35, 78, and 99 is 180,180.