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Multiples and Least Common
Multiple
5th Grade Math
CM2 FK1
Learning Objective
I will be able to identify common
multiples in a set of whole numbers
and find the least common multiple
Vocabulary
Multiple
– The product of the number and
any whole number
Multiples of 4:
4, 8, 12, 16, 20…
Multiples of 5:
5, 10, 15, 20, 25, 30, 35…
Meet the MULTIPLE
MONSTERS… they like to
make numbers BIGGER
Vocabulary
Common Multiples
– A whole number that is a multiple of two
or more numbers
Vocabulary
Least Common Multiple
– The least multiple, other than 0,
common to a set of multiples
Watch the following video to find out how
to find multiples of a number
Multiples of 9
Try it… #1
Monster Fowlkes likes to eat only multiples
of 4… what are the first five multiples of 4?
1 x 4= 4
2x4=8
3 x 4= 12
4 x 4= 16
5 x 4= 20
Answer: 4, 8, 12, 16, 20
Try it… #2
Monster Westmoreland likes to eat only
multiples of 7… what are the first five
multiples of 7?
1 x 7= 7
2 x 7 = 14
3 x 7= 21
4 x 7= 28
5 x 7= 35
Answer: 7, 14, 21, 28, 35
Try it… #3
Monster Cassner likes to eat only multiples
of 3… what are the first five multiples of 3?
1 x 3= 3
2x3=6
3 x 3= 9
4 x 3= 12
5 x 3= 15
Answer: 3, 6, 9, 12, 15
Common Multiples
To find common multiples
of two numbers first list
the multiples of each
number:
Example:
2- 2, 4, 6, 8,10, 12
3- 3, 6, 9, 12, 15, 18
Next, circle all the
multiples that the two
numbers have in common
Answer:
6, 12
Try it…
Common Multiples
Find the common
multiples of 2 and 7
2- 2, 4, 6, 8,10, 12, 14
7- 7, 14, 21, 28, 35, 42
Circle all the multiples
that the two numbers
have in common
Answer:
14
Least Common Multiple
To find the least common multiple of
two whole numbers:
– List the multiples of each number
– Circle the common multiples
– Identify the smallest (least) common
multiple
LCM #1
LCM #1 Answer
LCM #2
Monster Petrillo loves to eat multiples of
2 and Monster Tripp loves to eat
multiples of 3
What is the smallest number they would
both want to eat? (Find the LCM)
LCM #2 Answer
Multiples of 2: 2, 4, 6, 8, 10, 12, 16, 18
Multiples of 3: 3, 6, 9, 12, 15, 18, 21
Common Multiples: 6, 12, 18
Least Common Multiple= 6
Review with the multiples
rap…
Review
What was our learning objective?
Define Multiple
Define Common Multiple
How do you find the Least Common
Multiple?