Display Title
Definition--Factors and Multiples--LCM
Display Title
Least Common Multiple (LCM)
Topic
Factors and Multiples
Definition
The least common multiple (LCM) is the smallest number that is a multiple of two or more numbers.
Description
The concept of the least common multiple (LCM) is essential in the study of factors and multiples. The LCM of two or more numbers is the smallest number that is evenly divisible by all of the given numbers. This concept is particularly useful in various mathematical operations and problem-solving scenarios.
For example, when adding or subtracting fractions, finding the LCM of the denominators allows us to convert the fractions to a common denominator, simplifying the calculation process. Similarly, the LCM is used in solving problems that involve finding common periods in cyclic events, such as determining when two or more repeating events will coincide.
Understanding the LCM also helps in simplifying ratios and proportions and is a fundamental concept in number theory and algebra. By learning to find the LCM, students can develop a deeper understanding of how numbers relate to each other and improve their problem-solving skills.
For a complete collection of terms related to factors and multiples click on this link: Factors and Multiples Collection.
| Common Core Standards | CCSS.MATH.CONTENT.3.OA.B.6, CCSS.MATH.CONTENT.4.OA.B.4, CCSS.MATH.CONTENT.6.NS.B.4, CCSS.MATH.CONTENT.HSA.SSE.A.1, CCSS.MATH.CONTENT.3.NBT.A.3, CCSS.MATH.CONTENT.4.NF.B.4.A |
|---|---|
| Grade Range | 3 - 8 |
| Curriculum Nodes |
Algebra • The Language of Math • Numerical Expressions |
| Copyright Year | 2021 |
| Keywords | multiples, factors, definitions, glossary term, factor, LCM |
