Home
#### Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test
#### Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator
#### Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets

Home » Fractions » Least Common Multiple

# Finding the Least Common Multiple

# Like This Page?

## Other Fraction Pages You Might Like

If you've ever added or subtracted fractions, then you've found the least common multiple (LCM) of 2 numbers. You may not have called it the "least common multiple", instead you may have called it the "least common denominator", but it's all the same.

If you haven't gotten this far in your study of fractions, it's ok. You'll learn how to identify the LCM and apply it when working with fractions. Let's first take a look at a few definitions.

Our first definition is the term **multiple.** The **multiple** of a number is the product of the number and any nonzero whole number. (Remember: a product is the answer to a multiplication problem).

So, take a look at the following example of a multiple.

A **common multiple** is a multiple that is shared by 2 or more numbers. Let's take a look...

This leads us to our current vocabulary word: **least common multiple.** The **least** of the common multiples of two or more numbers is called the **least common multiple or LCM.** Take a look at the following example.

You can also find the least common multiple by using prime factorization. This can be helpful for larger numbers.

You will see as you begin to add and subtract fractions, that finding the least common multiple will become second nature.

You will also use the least common multiple as you compare fractions in the next lesson.

- Prime and Composite Numbers
- Simplifying Fractions
- Comparing Fractions
- Mixed Numbers and Improper Fractions
- Adding Fractions with Like Denominators
- Adding Fractions with Unlike Denominators
- Subtracting Fractions with Like Denominators
- Subtracting Fractions with Unlike Denominators
- How to Multiply Fractions
- Multiplying Fractions by Whole Numbers
- Multiplying Mixed Numbers

Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Custom Search

- FREE Solving Equations E-course
- Algebra Class E-course
- Algebra Class Products
- Algebra Practice Test
- Algebra Readiness Test
- Homework Answer Calculator
- Practice Worksheets

- Site Map
- Pre-algebra Refresher
- Solving Equations
- Graphing Equations
- Writing Equations
- Systems of Equations
- Inequalities
- Functions
- Exponents & Monomials
- Polynomials
- Quadratic Equations
- Algebra 1 Final Exam
- Square Roots and Radicals

- SAT Online Course
- Algebra Cheat Sheets - Very Popular!!
- Algebra Formulas
- Online Resources
- Contact Me
- I Want to Hear From You!
- Algebra Blog
- About Me

Copyright © 2009-2015 Karin Hutchinson ALL RIGHTS RESERVED

## Comments

We would love to hear what you have to say about this page!