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Venn Diagram

Create a Venn Diagram
and put each number in
its own circle

List the multiples of each
number and put the
common multiples in the
overlap of the circles

Identify the LCM
Prime Factorization
 Make a factor tree for each
number
 Write the prime factorization
of each number
 Find the GCF using the
common prime factors
 Multiply the GCF by the other
prime factors
Find the LCM of 12 & 16
12
16
12, 24,
48
32,
36,
96
64
Find the LCM of 12 & 16
12: 12, 24, 36, 48, 60...
16: 16, 32, 48, 64….
LCM: 48
Find the LCM of 12 & 16
12
16
3•4
4•4
2•2
2•2 2•2
(2• 2) • 3 (2• 2) • 2• 2
GCF: (2• 2) = 4
LCM = (2• 2) • 2 • 2 • 3 = 48
List the Factors

List all the multiples of each
number

Find the common multiples

Identify the LCM
LCM: 48
Find the LCM of 12 & 16
2 12
16
2 6
8
3
4
LCM: 2• 2 • 3• 4 = 48
Repeated Division

Divide both numbers by a
common factor until the
only common factor is 1

Find the product of the
common factors and the
non common factors.
Common Mulitples are multiples that are shared by 2 or more numbers
Least Common Multiple (LCM) is the least (or smallest) number in a list of
common multiples