Common Multiples and Common Factors
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This document discusses determining common multiples and common factors of numbers. It explains that the common multiples of two numbers are the multiples that are shared between the two lists of all their individual multiples. The least common multiple is the smallest number that is a multiple of both numbers. It also explains that common factors are factors that two numbers have in common, and these can be determined by making lists of all the factors of each number and looking for the ones they share. A Venn diagram can also be used to visualize common factors between two numbers.
Common Multiples and Common Factors
- 1. COMMON MULTIPLES & COMMON FACTORS Created by tbonnar.
- 2. CH. 1.6 DETERMINING COMMON MULTIPLES
- 3. DETERMINING COMMON MULTIPLES What are the common multiples of 3 and 4? Multiples of 3 Multiples of 4 1x3=3 1x4=4 2x3=6 2x4=8 3x3=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 Are there any multiples in common?
- 4. DETERMINING COMMON MULTIPLES 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?
- 5. LEAST COMMON MULTIPLE The LCM (Least Common Multiple) is the smallest number that is a multiple of both numbers. Multiples of 3 Multiples of 4 1x3=3 1x4=4 2x3=6 2x4=8 3x3=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
- 7. LEAST COMMON MULTIPLE 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
- 8. CH. 1.7 DETERMINING COMMON FACTORS
- 9. DETERMINING FACTORS 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
- 10. COMMON FACTORS – MAKING LISTS 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.
- 11. COMMON FACTORS – MAKING LISTS Another example:
- 12. COMMON FACTORS – MAKING LISTS
- 13. COMMON FACTORS – USING VENN DIAGRAMS What does this Venn Diagram show us? What can we learn about common factors from it?