The prime factors of 12673 is:

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19,23,29

19,21,30

19,23,40

21,23,29

answer is A.

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Detailed Solution

Concept: As stated in the question, we must use the prime factorization method to get the L.C.M. of the numbers. When using the prime factorization method, we must translate a given number into a prime number product. First, determine whether the number's last digit is even or odd. Starting with number 2 to factor a number if the final digit is even, and number 3 to factor a number if the last number is odd.
The number is 12673.
The factor can be any number whose last digit is one of the digits 3, 7, or 9, since 3 is an odd number.
The number is divided by 19

The number 12673's first factor is 19.
Next, divide the number 667 by 23.

The number 12673's second factor is 23.
Considering that 29 has no factors, divide it by 29.

Additionally, the number 12673 has a prime factor of 19.23.29.
Hence, the correct answer is option 1.

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