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Cornell Notes: Least Common Multiple (LCM)
Topic: Students will be able to
find the Least Common
Multiple of 2 or more numbers.
Questions/Main Ideas
Name: ___________________________________
Class/Teacher: __ ________________ Core: ________
Date: __________
Grade: __6______
Notes/Examples
A multiple of a number is the product of that number and a
nonzero whole number.
Example: Multiples of 6: 6, 12, 18, 24, 30, 36
Multiples of 4: 4, 8, 12, 16, 20, 24
A number that is a multiple of each of two or more numbers is
a common multiple.
Example: 4 and 8 have a common multiple of 8.
Example: 4 and 6 have common multiples: 12, 24
The Least Common Multiple (LCM) of two or more numbers is
the least multiple that is common to all the numbers.
Example: Multiples of 4: 4, 8, 12, 16, 20, 24
Multiples of 6: 6, 12, 18, 24
Some Common Multiples of 4 and 6 are 12 and 24
The Least Common Multiple is 12.
Method 1: Find the Least Common Multiple by listing the
multiples of each number.
Example: Find the LCM of 10 and 12
10: 10, 20, 30, 40, 50, 60, 70, 80, 90
12: 12, 24, 36, 48, 60
LCM: 60
Method 2: Use the Division Ladder
Using a Division Ladder:
Find the LCM of 42 and 56
2) 42
7) 21
3
56 Divide by 2, a common factor
28 Divide by 7, a common factor
4 3 and 4 have no common factors
Multiply all the numbers together on the left and bottom.
2 x 7 x 3 x 4 = 168
Find the LCM of 12 and 8
2) 12
8
2) 6
4
3
2
2 x 2 x 3 x 2 = 24
LCM= 24
Summary, Reflection, Analysis:
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