Common Multiples

Topic

Factors and Multiples

Definition

A common multiple is a number that is a multiple of two or more numbers.

Description

In the context of factors and multiples, understanding common multiples is crucial for solving various mathematical problems, particularly those involving fractions, least common multiples (LCM), and algebraic expressions. A common multiple of a set of numbers is a number that each of the numbers in the set divides without leaving a remainder. For example, the common multiples of 4 and 6 include 12, 24, 36, and so on. The smallest of these, 12, is known as the least common multiple (LCM).

Common multiples are particularly useful when adding, subtracting, or comparing fractions. To add or subtract fractions, one must first find a common denominator, which is often the least common multiple of the denominators. In algebra, finding common multiples can simplify expressions and solve equations involving multiple terms. Additionally, understanding common multiples helps in solving word problems that involve repeated events or cycles, such as determining when two events will coincide.

For a complete collection of terms related to factors and multiples click on this link: Factors and Multiples Collection.