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Welcome to our Math lesson on Finding the Common Multiples of Two Numbers, this is the fifth lesson of our suite of math lessons covering the topic of Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Finding the Common Multiples of Two Numbers
We can find the common multiples of two or more small numbers by writing all multiples for each number and then, highlighting the common multiples. For example, if we want to find the common multiples of 8 and 12, we write all multiples of each number in a row, as shown below (we have highlighted the common multiples by underlining them)
Multiples of 8 = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, ...}
Multiples of 12 = {12, 24, 36, 48, 60, 72, 84, 96, ...}
Hence, it becomes obvious that the multiples of 8 and 12 are 24, 48, 72, 96, etc.
We see that it is sufficient to find the smallest of the multiples (known as Least Common Multiple, or LCM) and then, multiply it by 2, 3, 4, ... etc., to find all common multiples of two or more numbers. Therefore, it is very important to know how to easily find the LCM of two or more numbers; we will explain this in the next paragraph.
More Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF Lessons and Learning Resources
Arithmetic Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 1.5 | Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 1.5.1 | What are Multiples of a Number? What are Factors? | | |
| 1.5.2 | Finding the Factors of a Number Using the Tree Method | | |
| 1.5.3 | Prime Numbers | | |
| 1.5.4 | Prime Factorization | | |
| 1.5.5 | Finding the Common Multiples of Two Numbers | | |
| 1.5.6 | Finding the LCM of Two or More Numbers | | |
| 1.5.7 | Greatest Common Factor, GCF | | |
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