Select the number from among the given options that can replace the question mark (?) in the following series.
323, 329, 344, ? , 456

The difference between the first two terms is 329-323 = 6
The difference between the second and third terms is 344-329 = 15

6 is 2 times 3
15 is 3 times 5

The pattern here is that the difference is multiples of consecutive primes; the next difference would be 5 times 7 = 35, making the next term to be 344+35 = 379

The next difference would be 7 times 11 = 77, making the fifth term to be 379+77 = 456

This satisfies our given sequence, and 379 is one of the options. 

Therefore, Option D is the correct answer.