Question

Найдите НОК(105;924)=...

Answer 1

Разлагаем числа на множители:
924 = 2 * 2 * 3 * 7 * 11
105 = 5 * 3 * 7
Дописываем в множители большего числа те множители из меньшего, которых нет в большем:
2 * 2 * 3 * 7 * 11 * 5 = 4620
Ответ: НОК (105;924) = 4620

Answer 2

Calculating the Least Common Multiple (LCM) of 105 and 924

To calculate the Least Common Multiple (LCM) of 105 and 924, we can use the prime factorization method. The LCM of two numbers is the smallest number that is a multiple of both numbers.

Prime Factorization of 105: 105 = 3 * 5 * 7

Prime Factorization of 924: 924 = 2^2 * 3 * 7 * 11

Calculating the LCM using Prime Factorization

To find the LCM, we take the highest power of all prime factors involved. In this case, the prime factorization of 105 and 924 is as follows:

105 = 3 * 5 * 7 924 = 2^2 * 3 * 7 * 11

The LCM is the product of the highest powers of all prime factors involved. Therefore, the LCM of 105 and 924 is:

LCM(105, 924) = 2^2 * 3 * 5 * 7 * 11 = 27720

So, the Least Common Multiple (LCM) of 105 and 924 is 27720.

[[8 #]]