Question

Найти удобным способом НОК (198,9),НОК (16,48),НОК(26,52) СРОЧНО

Answer 1

1)
198 = 22*9
НОК(198,9)=198
2) 
48= 3*16 
НОК(16,48)=48
3)
51=2* 26 
НОК(26,52)=26

Answer 2

НОК (198; 9) = 198, т.к. 9 делится на 198, и даже не нужно расписывать
НОК (16; 48) = 48, т.к. 16 делится на 48, и даже не нужно расписывать
НОК (26; 52) = 52, т.к. 26 делится на 52, и даже не нужно расписывать.

Answer 3

Finding the Least Common Multiple (LCM)

To find the least common multiple (LCM) of the given numbers, we can use the prime factorization method or the method of finding the LCM using the greatest common divisor (GCD). Let's use the prime factorization method.

LCM of (198, 9): To find the LCM of 198 and 9, we need to find the prime factorization of each number.

Prime factorization of 198: 198 = 2 * 3^2 * 11

Prime factorization of 9: 9 = 3^2

To find the LCM, we take the highest power of each prime factor that appears in either number: LCM = 2 * 3^2 * 11 = 594

LCM of (16, 48): Prime factorization of 16: 16 = 2^4

Prime factorization of 48: 48 = 2^4 * 3

To find the LCM, we take the highest power of each prime factor that appears in either number: LCM = 2^4 * 3 = 48

LCM of (26, 52): Prime factorization of 26: 26 = 2 * 13

Prime factorization of 52: 52 = 2^2 * 13

To find the LCM, we take the highest power of each prime factor that appears in either number: LCM = 2^2 * 13 = 52

Therefore, the LCM of (198, 9) is 594, the LCM of (16, 48) is 48, and the LCM of (26, 52) is 52.

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