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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.
6 = 6, 12, 18, 24, 30, 36
5 = 5, 10, 15, 20, 25, 30
What is the Least Common Multiple of 3
& 8
8 = 8, 16, 24, 32, 40, 48 3 = 3, 6, 9, 12, 15, 21, 24
What is the Least Common Multiple of 4
& 8
8 = 8, 16, 24, 32, 40, 48 4 = 4, 8, 12, 16, 20, 24
What is the Least Common Multiple of 6
& 8
8 = 8, 16, 24, 32, 40, 48 6 = 6, 12, 18, 24, 30, 36
What is the Least Common Multiple of 4
& 10
10 = 10, 20, 30, 40, 50, 4 = 4, 8, 12, 16, 20, 24
What is the Least Common Multiple of 3
& 9
9 = 9, 18, 27, 36, 45, 54 3 = 3, 6, 9, 12, 15, 21,
To Add or Subtract Fractions With Unlike Denominators
• Find the multiples of each denominator.
1= 5, 10, 15, 20, 25, 30
1= 10, 20, 30, 40, 50+
5
10
To Add or Subtract Fractions With Unlike Denominators
• Compare the lists of multiples. Circle the common multiples between the two lists.
15 = 5, 10, 15, 20, 25, 301
10 = 10, 20, 30, 40, 50+
To Add or Subtract Fractions With Unlike Denominators
• Use the lowest common multiple as the denominator.
15 = 5, 10, 15 ,20 ,25 ,301
10 = 10, 20, 30, 40, 50+
To Add or Subtract Fractions With Unlike Denominators
• This number is also called the least common denominator.
15 = 5, 10, 15 ,20 ,25 ,301
10 = 10, 20, 30, 40, 50+
Find the Least Common Denominator or
Least Common Multiple
12 = 2, 4, 6, 8, 10, 1218 = 8, 16, 24, 32, 40+
Find the Least Common Denominator or
Least Common Multiple
110 = 10, 20, 30, 40, 18 = 8, 16, 24, 32, 40+
Find the Least Common Denominator or
Least Common Multiple
110 = 10, 20, 30, 40, 14 = 4, 8, 12, 16, 20, +
Find the Least Common Denominator or
Least Common Multiple
12 = 2, 4, 6, 8, 10, 14 = 4, 8, 12, 16, 20, +
Find the Least Common Denominator or
Least Common Multiple
12 = 2, 4, 6, 8, 10, 12 112 = 12, 24, 36, 48 +
Find the Least Common Denominator or
Least Common Multiple
13 = 3, 6, 9, 12, 15 14 = 4, 8, 12, 16, 20, +
Find the Least Common Denominator or
Least Common Multiple
13 = 3, 6, 9, 12, 15 15 = 5, 10, 15, 20, 25, +
Find the Least Common Denominator or
Least Common Multiple
13 = 3, 6, 9, 12, 15 19 = 9, 18, 27, 36, 45, +
Shortcut for Finding the Least Common Denominator or Least
Common Multiple
1319+
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.
3 will divide evenly into 9, so 9 is your LCD or LCM.
Shortcut for Finding the Least Common Denominator or Least
Common Multiple
1214+
Using the shortcut, what is the LCD or LCM?
2 will divide evenly into 4, so 4 is your LCD or LCM.
Shortcut for Finding the Least Common Denominator or Least
Common Multiple
12110+
Using the shortcut, what is the LCD or LCM?
2 will divide evenly into 10, so 10 is your LCD or LCM.
Shortcut for Finding the Least Common Denominator or Least
Common Multiple
12112+
Using the shortcut, what is the LCD or LCM?
2 will divide evenly into 12, so 12 is your LCD or LCM.
Shortcut for Finding the Least Common Denominator or Least
Common Multiple
1418+
Using the shortcut, what is the LCD or LCM?
4 will divide evenly into 8, so 8 is your LCD or LCM.
Shortcut for Finding the Least Common Denominator or Least
Common Multiple
1316+
Using the shortcut, what is the LCD or LCM?
3 will divide evenly into 6, so 6 is your LCD or LCM.
Shortcut for Finding the Least Common Denominator or Least
Common Multiple
13112+
Using the shortcut, what is the LCD or LCM?
3 will divide evenly into 12, so 12 is your LCD or LCM.
Shortcut for Finding the Least Common Denominator or Least
Common Multiple
13115+
Using the shortcut, what is the LCD or LCM?
3 will divide evenly into 15, so 15 is your LCD or LCM.
Shortcut for Finding the Least Common Denominator or Least
Common Multiple
1318+
Using the shortcut, what is the LCD or LCM?
3 will not divide evenly into 8, so find the least common multiple.