This worksheet focuses on finding the least common multiple (LCM) of given numbers. The LCM is the smallest positive integer which is a multiple of each of the numbers in the set. To solve these problems, you list the multiples of each number until you find the smallest multiple they share. For example, to find the least common multiple (LCM) of 4, 7, and 8, you start by listing some of the multiples for each number. A multiple of a number is what you get when you multiply that number by another whole number. For 4, the multiples are 4, 8, 12, 16, 20, 24, 28, 32, and so on. For 7, the multiples are 7, 14, 21, 28, 35, 42, and so on. For 8, the multiples are 8, 16, 24, 32, 40, and so on. Now, you look for the smallest number that appears in all three lists. In this case, the number 56 appears in all three lists. So, the least common multiple of 4, 7, and 8 is 56.