chapter 5.1-5.3 do you remember? the definition of: prime number? factor? prime factor? common...
TRANSCRIPT
Chapter 5.1-5.3
Do you remember?The definition of: prime number? factor? prime factor? common factor? greatest common factor? multiple? common multiple? least common multiple? Write these definitions in your own words on your
MMC worksheet.
Let’s see if you were correct.Match the terms to the definitions shown below.
A whole number greater than 1 whose only factors are 1 and itself
A number that is multiplied by another number to find a product
Prime numbers that are factors of an integer
A number that is a factor of two or more numbers
The greatest factor that two or more numbers have in common
The product of a given whole number and another whole number
A number that is a multiple of two or more numbers
The smallest number, other than zero, that is a common multiple of two or more numbers
Prime Number
FactorCommon Factor
GCF
Common Multiple
LCM
Prime Factor Multiple
Find the GCF and LCM of 24 and 60
• Use a factor tree to help you find the Prime Factors
• Then a Venn Diagram to help you find the GCF and LCM
FACTOR TREES
24 60
4 6 4 15
2 2 2 3 2 2 3 5Prime Factors have now been found.
Prime Factors24 = 2 x 2 x 2 x 3
60 = 2 x 2 x 3 x 5
We now need to find the GCF - Greatest Common Factor
2460
Venn Diagram24 = 2 x 2 x 2 x 3
60 = 2 x 2 x 3 x 5
22
3
2 5
GCF = 2 x 2 x 3 = 12LCM = 2 x 2 x 2 x 3 x 5 = 120
GCF is the region of
intersection2 x 2 x 3 = 12
FACTOR TREES
24 60
4 6 4 15
2 2 2 3 2 2 3 5Prime Factors have now been found.
Prime Factors24 = 2 x 2 x 2 x 3
60 = 2 x 2 x 3 x 5
Now we need to find the LCM - Least Common Multiple
2460
Venn Diagram24 = 2 x 2 x 2 x 3
60 = 2 x 2 x 3 x 5
22
3
2 5
GCF = 2 x 2 x 3 = 12LCM = 2 x 2 x 2 x 3 x 5 = 120
LCM is all the numbers in the circles
multiplied together 2 x 2 x 2 x 3 x 5=120
The LCM of two or more numbers is the smallest number that is a multiple of each of
the numbers.
24 x 5 =120 60 x 2 =120
or you could write out the multiples of 24 and 60
24, 48, 72, 96, 120, 144,….
60, 120, 180, 240, 300,....
The GCF of two or more numbers is the largest number that divides exactly into
each of them.
24 ÷ 12 = 2 60 ÷ 12 = 5
1. 6 and 15
2. 20 and 30
3. 14 and 42
4. 24, 30 and 54
Find the GCF and LCM of the following:
Answers:
1.GCF = 3, LCM = 30
2.GCF = 10, LCM = 60
3.GCF = 14, LCM = 42
4.GCF = 6, LCM = 1080