Question

Помогите пожалуйста найти НОК (27,36)

Answer 1

27=3 3 3 1

36=2 2 3 3 1

НОК (27,36)=3*3*3*2*2=108

Answer 2

Finding the Least Common Multiple (НОК) of 27 and 36

To find the least common multiple (НОК) of 27 and 36, we can use the prime factorization method. First, we'll find the prime factorization of each number, and then we'll determine the least common multiple based on the highest powers of all prime factors involved.

The prime factorization of 27 is 3^3, and the prime factorization of 36 is 2^2 * 3^2.

Therefore, the least common multiple (НОК) of 27 and 36 is calculated by taking the highest powers of all prime factors involved, which results in 2^2 * 3^3 = 108.

The least common multiple (НОК) of 27 and 36 is 108.

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