НОК(30,100,60)

To find the least common multiple (LCM) of the numbers 30, 100, and 60, we can use the following steps:

Step 1: Prime factorize each number. 30 = 2 * 3 * 5 100 = 2^2 * 5^2 60 = 2^2 * 3 * 5

Step 2: Identify the highest power of each prime factor. The highest power of 2 is 2^2. The highest power of 3 is 3. The highest power of 5 is 5^2.

Step 3: Multiply the highest powers of the prime factors. 2^2 * 3 * 5^2 = 4 * 3 * 25 = 300

Therefore, the LCM of 30, 100, and 60 is 300.