Question

Вычесли НОК (4,11)= (24,18) (75,45)

Answer 1

НОК(4,11)=44
НОК(24,18)=72
НОК(74,45)=225

Answer 2

To find the least common multiple (LCM) of the given numbers, we can follow these steps:

Step 1: Prime factorize the numbers First, let's prime factorize the numbers involved in the calculation:

Prime factorization of 4: 2 * 2 Prime factorization of 11: 11 Prime factorization of 24: 2 * 2 * 2 * 3 Prime factorization of 18: 2 * 3 * 3 Prime factorization of 75: 3 * 5 * 5 Prime factorization of 45: 3 * 3 * 5

Step 2: Determine the highest power of each prime factor Next, we need to determine the highest power of each prime factor that appears in any of the numbers. We consider the maximum occurrences of each prime factor:

2^3 3^2 5^2 11^1

Step 3: Calculate the LCM To calculate the LCM, we multiply the highest power of each prime factor:

LCM = 2^3 * 3^2 * 5^2 * 11^1 = 8 * 9 * 25 * 11 = 19800

Therefore, the least common multiple (LCM) of 4, 11, 24, 18, 75, and 45 is 19800.