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Least Common Multiple
Least Common Denominator
Product
• The answer to a
multiplication problem.
6 X 6 = 36
What is the product?
7 X 8 = 56
What is the product?
8 X 9 = 72
Multiple
• The product of a whole
number multiplied times any
other whole number.
Some multiples of 6
6, 12, 18, 24, 30, 36, 42
Name some multiples of 5
5, 10, 15, 20, 25, 30, 35
Name some multiples of 7
7, 14, 21, 28, 35, 42, 49
Name some multiples of 4
4, 8, 12, 16, 20, 24, 28
Name some multiples of 9
9, 18, 27, 36, 45, 54, 63
Common Multiple
A number that is a
multiple of two or more
numbers.
Some multiples of 3 & 6
•
6, 12, 18, 24, 30, 36, 42
What are some Common
Multiples for 2 & 8?
8, 16, 24, 32, 40, 48, 56
What are some Common
Multiples for 4 & 6?
12, 24, 36, 48, 56, 60
What are some Common
Multiples for 3 & 7?
21, 42, 63
What are some Common
Multiples for 5 & 10?
10, 20, 30, 40, 50, 60
Least Common Multiple
• The smallest common
multiple of a set of two or
more numbers.
5 = 5, 10, 15, 20, 25, 30
6 = 6, 12, 18, 24, 30, 36
What is the Least
Common Multiple of 3 & 8
3 = 3, 6, 9, 12, 15, 21, 24
8 = 8, 16, 24, 32, 40, 48
What is the Least
Common Multiple of 4 & 8
4 = 4, 8, 12, 16, 20, 24
8 = 8, 16, 24, 32, 40, 48
What is the Least
Common Multiple of 6 & 8
6 = 6, 12, 18, 24, 30, 36
8 = 8, 16, 24, 32, 40, 48
What is the Least
Common Multiple of 4 &
10
4 = 4, 8, 12, 16, 20, 24
10 = 10, 20, 30, 40, 50,
What is the Least
Common Multiple of 3 & 9
3 = 3, 6, 9, 12, 15, 21,
9 = 9, 18, 27, 36, 45, 54
To Add or Subtract Fractions With
Unlike Denominators
• Find the multiples of each
denominator.
1
5 = 5, 10, 15, 20, 25, 30
1
+10 = 10, 20, 30, 40, 50
To Add or Subtract Fractions With
Unlike Denominators
• Compare the lists of multiples. Circle
the common multiples between the two
lists.
1
5 = 5, 10, 15, 20, 25, 30
1
+10 = 10, 20, 30, 40, 50
To Add or Subtract Fractions With
Unlike Denominators
• Use the lowest common multiple as the
denominator.
1
5 = 5, 10, 15 ,20 ,25 ,30
1
+10 = 10, 20, 30, 40, 50
To Add or Subtract Fractions With
Unlike Denominators
• This number is also called the least
common denominator.
1
5 = 5, 10, 15 ,20 ,25 ,30
1
+10 = 10, 20, 30, 40, 50
Find the Least Common
Denominator or
Least Common Multiple
1
2 = 2, 4, 6, 8, 10, 12
1
+ 8 = 8, 16, 24, 32, 40
Find the Least Common
Denominator or
Least Common Multiple
1
10 = 10, 20, 30, 40,
1
+ 8 = 8, 16, 24, 32, 40
Find the Least Common
Denominator or
Least Common Multiple
1
10 = 10, 20, 30, 40,
1
+ 4 = 4, 8, 12, 16, 20,
Find the Least Common
Denominator or
Least Common Multiple
1
2 = 2, 4, 6, 8, 10,
1
+ 4 = 4, 8, 12, 16, 20,
Find the Least Common
Denominator or
Least Common Multiple
1
2 = 2, 4, 6, 8, 10, 12
1
+ 12 = 12, 24, 36, 48
Find the Least Common
Denominator or
Least Common Multiple
1
3 = 3, 6, 9, 12, 15
1
+ 4 = 4, 8, 12, 16, 20,
Find the Least Common
Denominator or
Least Common Multiple
1
3 = 3, 6, 9, 12, 15
1
+ 5 = 5, 10, 15, 20, 25,
Find the Least Common
Denominator or
Least Common Multiple
1
3 = 3, 6, 9, 12, 15
1
+ 9 = 9, 18, 27, 36, 45,
Shortcut for Finding the Least Common
Denominator or Least Common Multiple
Check to see if the smaller denominator
divides evenly into the larger denominator.
If it does, use the larger denominator for
your LCD or LCM.
1
3
1
+ 9
3 will divide evenly into 9,
so 9 is your LCD or LCM.
Shortcut for Finding the Least Common
Denominator or Least Common Multiple
Using the shortcut, what is the LCD or
LCM?
1
2
1
+ 4
2 will divide evenly into 4,
so 4 is your LCD or LCM.
Shortcut for Finding the Least Common
Denominator or Least Common Multiple
Using the shortcut, what is the LCD
or LCM?
1
2
1
+ 10
2 will divide evenly into 10,
so 10 is your LCD or LCM.
Shortcut for Finding the Least Common
Denominator or Least Common Multiple
Using the shortcut, what is the LCD or
LCM?
1
2
1
+ 12
2 will divide evenly into 12,
so 12 is your LCD or LCM.
Shortcut for Finding the Least Common
Denominator or Least Common Multiple
Using the shortcut, what is the LCD
or LCM?
1
4
1
+ 8
4 will divide evenly into 8,
so 8 is your LCD or LCM.
Shortcut for Finding the Least Common
Denominator or Least Common Multiple
Using the shortcut, what is the LCD
or LCM?
1
3
1
+ 6
3 will divide evenly into 6,
so 6 is your LCD or LCM.
Shortcut for Finding the Least Common
Denominator or Least Common Multiple
Using the shortcut, what is the LCD
or LCM?
1
3
1
+ 12
3 will divide evenly into 12,
so 12 is your LCD or LCM.
Shortcut for Finding the Least Common
Denominator or Least Common Multiple
Using the shortcut, what is the LCD
or LCM?
1
3
1
+ 15
3 will divide evenly into 15,
so 15 is your LCD or LCM.
Shortcut for Finding the Least Common
Denominator or Least Common Multiple
Using the shortcut, what is the LCD
or LCM?
1
3
1
+ 8
3 will not divide evenly into
8, so find the least
common multiple.