common multiples and common factors
TRANSCRIPT
COMMON MULTIPLES
& COMMON FACTORS
Created by
tbonnar.
CH. 1.6 DETERMINING
COMMON MULTIPLES
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
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
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
LEAST COMMON MULTIPLE
The LCM (Least Common Multiple) is the smallest number that is a multiple of both numbers.
Multiples of 55, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60
Multiples of 66, 12, 18, 24, 30, 36, 42, 48, 54, 60
LEAST COMMON MULTIPLE
CH. 1.7 DETERMINING
COMMON FACTORS
Recall: every number has factors (that means two numbers that multiply together to equal that number)
Example: Factors of 121 x 12 = 122 x 6 = 123 x 4 = 12
So, 1, 2, 3, 4, 6, and 12 are all factors of 12
DETERMINING FACTORS
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
Another example:
COMMON FACTORS – MAKING LISTS
COMMON FACTORS – MAKING LISTS
What does this Venn Diagram show us?
What can we learn about common factors from it?
COMMON FACTORS – USING VENN DIAGRAMS