
Помогите пожалуйста НОК (19. 10) НОК (11 110) НОК (26. 52)


Ответы на вопрос





НОК(11,110)=2*5*11=110
НОК(26,52)=2*2*13=52



Calculating the Least Common Multiple (LCM)
To calculate the least common multiple (LCM) of the given numbers, we can use the prime factorization method. First, we need to find the prime factorization of each number and then calculate the LCM using the highest powers of all prime factors involved.
Given numbers: - 19, 10 - 11, 110 - 26, 52
Prime Factorization
Let's find the prime factorization of each number.
For 19: 19 is a prime number, so its prime factorization is 19.
For 10: 10 = 2 * 5, so its prime factorization is 2 * 5.
For 11: 11 is a prime number, so its prime factorization is 11.
For 110: 110 = 2 * 5 * 11, so its prime factorization is 2 * 5 * 11.
For 26: 26 = 2 * 13, so its prime factorization is 2 * 13.
For 52: 52 = 2^2 * 13, so its prime factorization is 2^2 * 13.
Calculating LCM
Now, we can calculate the LCM for each pair of numbers.
For 19 and 10: The LCM of 19 and 10 is 190.
For 11 and 110: The LCM of 11 and 110 is 110.
For 26 and 52: The LCM of 26 and 52 is 52.
So, the LCMs of the given numbers are: - LCM(19, 10) = 190 - LCM(11, 110) = 110 - LCM(26, 52) = 52


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