Common Multiples and Common Factors

12,467 views

Published on

Published in: Education
0 Comments
1 Like
Statistics
Notes
  • Be the first to comment

No Downloads
Views
Total views
12,467
On SlideShare
0
From Embeds
0
Number of Embeds
340
Actions
Shares
0
Downloads
145
Comments
0
Likes
1
Embeds 0
No embeds

No notes for slide

Common Multiples and Common Factors

  1. 1. COMMON MULTIPLES & COMMON FACTORS Created by tbonnar.
  2. 2. CH. 1.6DETERMINING COMMON MULTIPLES
  3. 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. 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. 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
  6. 6. LEAST COMMON MULTIPLE
  7. 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. 8. CH. 1.7DETERMINING COMMON FACTORS
  9. 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. 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. 11. COMMON FACTORS – MAKING LISTSAnother example:
  12. 12. COMMON FACTORS – MAKING LISTS
  13. 13. COMMON FACTORS –USING VENN DIAGRAMS What does this Venn Diagram show us? What can we learn about common factors from it?

×