Final answer:
The LCM of the numbers 7, 14, 28, 42, and 56 is 56, since it is the smallest number that is a multiple of each of the given numbers.
Step-by-step explanation:
The question involves finding the least common multiple (LCM) of several numbers. In this case, to find the LCM of the given numbers which are 7, 14, 28, 42, and 56, we look for the smallest number that each of the given numbers can divide into without leaving a remainder. The number 14 is a multiple of 7, 28 is a multiple of both 7 and 14, 42 is a multiple of 7 and 56 is a multiple of both 7 and 14. Since 56 is the largest given number and it is also a multiple of 14 and 28, it is the least common multiple of all the given numbers. Therefore, the answer is D: 56.