Factors
Multiples
GCF
LCM
Real World
100
What is the definition of a factor?
It is a number that is multiplied with another number to make a product.
100
What is the definition of a multiple?
The product of a number and any non-zero whole number OR Skip counting by a number
100
What is the definition of the greatest common factor (GCF)?
It is the largest factor that two or more numbers share.
100
What is the definition of the least common multiple (LCM)?
It is the smallest multiple that two or more numbers share.
100
Mr. R wants to split candy into equal groups with no leftovers. If he has 8 jolly ranchers, 20 pieces of gum, and 48 Hershey bars, what is the largest number of groups he can make?
4 groups
200
List all the factors of 8.
1 2 4 8
200
List the first 5 multiples of 2.
2 4 6 8 10
200
Find the GCF of 20 and 24
4
200
Find the LCM of 8 and 12
24
200
Mr. R walks a mile in 15 minutes and his wife takes 20 minutes. If they start at the same time on a circular path, how many minutes will it be until they meet up again?
60 minutes
300
List all the factors of 30.
1 2 3 5 6 10 15 30
300
List the first five multiples of 5.
5 10 15 20 25
300
Find the GCF of 40 and 80
40
300
Find the LCM of 9 and 15
45
300
Mr. R is buying pencils and pens. He wants to have the same amount of each. Pencils come in packs of 12 and pens come in packs of 9. What is the smallest number of packs of each he would have to buy to have no leftovers?
3 packs of pencils, 4 packs of pens
400
List all the factors of 64.
1 2 4 8 16 32 64
400
List the first five multiples of 12
12 24 36 48 60
400
Find the GCF of 120 and 150
30
400
Find the LCM of 21 and 30
210
400
Mr. R wants to arrange his medals from races into groups with an equal amount of each type of medal in each group. He has 24 5k medals, 12 triathlon medals, and 6 half marathon medals. If he makes the largest number of groups possible, how many medals of each will be in a group?
4 5k medals, 2 triathlon medals, 1 half marathon medal
500
List all the factors of 120.
1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120
500
List the first five multiples of 19
19 38 57 76 95
500
Find the GCF of 68 and 85
17
500
Find the LCM of 15, 16, and 17
4,080
500
Explain the difference between GCF and LCM real world problems.
GCF problems deal with grouping or equally distributing items. LCM problems deal with events happening again at the same time or getting items without leftovers.
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