Common Multiples and Common Factors

1. Common Multiples & Common Factors Created by tbonnar .

2. Ch. 1.6 Determining Common Multiples

3. What are the common multiples of 3 and 4? Are there any multiples in common? Determining common multiples Multiples of 3 Multiples of 4 1 x 3 = 3 1 x 4 = 4 2 x 3 = 6 2 x 4 = 8 3 x 3 = 9 3 x 4 = 12 4 x 3 = 12 4 x 4 = 16 5 x 3 = 15 5 x 4 = 20 6 x 3 = 18 6 x 4 = 24 7 x 3 = 21 7 x 4 = 28 8 x 3 = 24 8 x 4 = 32

4. What are the common multiples of 5 and 6? We don’t need to make a chart every time. It is alright to just make a list. Multiples of 5 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60 Multiples of 6 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 Any multiples in common? Determining common multiples

5. The LCM (Least Common Multiple) is the smallest number that is a multiple of both numbers. Least common multiple Multiples of 3 Multiples of 4 1 x 3 = 3 1 x 4 = 4 2 x 3 = 6 2 x 4 = 8 3 x 3 = 9 3 x 4 = 12 4 x 3 = 12 4 x 4 = 16 5 x 3 = 15 5 x 4 = 20 6 x 3 = 18 6 x 4 = 24 7 x 3 = 21 7 x 4 = 28 8 x 3 = 24 8 x 4 = 32

6. Least common multiple

7. The LCM (Least Common Multiple) is the smallest number that is a multiple of both numbers. Multiples of 5 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60 Multiples of 6 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 Least common multiple

8. Ch. 1.7 Determining Common Factors

9. Recall: every number has factors (that means two numbers that multiply together to equal that number) Example: Factors of 12 1 x 12 = 12 2 x 6 = 12 3 x 4 = 12 So, 1, 2, 3, 4, 6, and 12 are all factors of 12 Determining Factors

10. If two numbers have the same factors, they are said to have common factors. One way to determine common factors of numbers is to make lists of the factors. Common Factors – Making Lists

11. Another example: Common Factors – Making Lists

12. Common Factors – making Lists

13. What does this Venn Diagram show us? What can we learn about common factors from it? Common Factors – using venn diagrams