Question

fill in the blank with one of the words or phrases listed below. equivalent mixed number least common multiple unlike least common denominator like exponent the ____ is the smallest number that is a multiple of all numbers in a list of numbers. \bigcirc mixed number \bigcirc least common denominator \bigcirc least common multiple \bigcirc equivalent

Explanation:

The least common multiple (LCM) of a set of numbers is defined as the smallest number that is a multiple of each number in the set. For example, for the numbers 4 and 6, the multiples of 4 are 4, 8, 12, 16, etc., and the multiples of 6 are 6, 12, 18, 24, etc. The smallest number that appears in both lists is 12, so the LCM of 4 and 6 is 12. This concept is fundamental in arithmetic operations involving fractions (e.g., adding or subtracting fractions with different denominators) and in solving problems related to periodic events.

Answer:

Least common multiple