Question

НОК (7; 8; 9; 10) = ?​

Answer 1

Ответ:

8.9.10.16

10.8.11.12

Answer 2

The notation you provided "НОК (7; 8; 9; 10)" represents finding the least common multiple (LCM) of the numbers 7, 8, 9, and 10.

The LCM of a set of numbers is the smallest positive integer that is divisible by each of the numbers in the set. To find the LCM of 7, 8, 9, and 10, you can follow these steps:

1. Find the prime factorization of each number:

   • 7: 7
   • 8: 2^3
   • 9: 3^2
   • 10: 2 * 5

2. Identify the highest power of each prime factor present in the factorizations:

   • 7: 7^1
   • 8: 2^3
   • 9: 3^2
   • 10: 2^1 * 5^1

3. Multiply the highest powers of the prime factors together to get the LCM: LCM = 2^3 * 3^2 * 5^1 * 7^1 = 8 * 9 * 5 * 7 = 2520

Therefore, the least common multiple (LCM) of 7, 8, 9, and 10 is 2520.