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High School Algebra I: Homework Help Resource25 chapters | 271 lessons

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Lesson Transcript

Instructor:
*Mia Primas*

Mia has taught math and science and has a Master's Degree in Secondary Teaching.

In this lesson, you'll learn the steps for identifying the least common multiple of two numbers and then apply that knowledge to find the least common multiple of 8 and 12.

There are two steps to find the least common multiple of two numbers:

- Step 1: List the multiples of each number.
- Step 2: Look for the first multiple that they have in common. This is the
**least common multiple**.

Let's apply these steps to find the least common multiple of 8 and 12:

To find the multiples of a number, find the product of the number and each consecutive whole number, beginning with 1. The first few multiples of 8 are: 8, 16, 24, 32, 40, and 48. The first multiples of 12 are: 12, 24, 36, 48, 60, and 72.

Multiples of 8 | Multiples of 12 |
---|---|

8 x 1 = 8 |
12 x 1 = 12 |

8 x 2 = 16 |
12 x 2 = 24 |

8 x 3 = 24 |
12 x 3 = 36 |

8 x 4 = 32 |
12 x 4 = 48 |

8 x 5 = 40 |
12 x 5 = 60 |

8 x 6 = 48 |
12 x 6 = 72 |

The first multiple that 8 and 12 have in common is 24. Notice that 48 is also a common multiple; however, 24 is the smallest number that they have in common. This makes it the least common multiple.

Knowing how to find the least common multiple is a skill that is very useful in math, particularly with fractions. For example, fractions must have the same denominator in order to add or subtract them. If they do not have the same denominator, you need to find equivalent fractions that do have the same denominator. The least common multiple of the two denominators can be used as the denominator for the equivalent fractions.

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10 in chapter 16 of the course:

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High School Algebra I: Homework Help Resource25 chapters | 271 lessons

- What is Factoring in Algebra? - Definition & Example 5:32
- How to Find the Prime Factorization of a Number 5:36
- Using Prime Factorizations to Find the Least Common Multiples 7:28
- Equivalent Expressions and Fraction Notation 5:46
- Using Fraction Notation: Addition, Subtraction, Multiplication & Division 6:12
- Factoring Out Variables: Instructions & Examples 6:46
- Combining Numbers and Variables When Factoring 6:35
- Transforming Factoring Into A Division Problem 5:11
- Factoring By Grouping: Steps, Verification & Examples 7:46
- How to Find the LCM of 8 & 12 1:30
- Go to High School Algebra - Factoring: Homework Help

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