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Least Common Multiple Least Common Multiple andand
Least Common DenominatorLeast Common Denominator
Lesson 4.7Lesson 4.7
ProductProduct
The answer to a The answer to a multiplication problem.multiplication problem.
6 X 6 = 36
What is the product?What is the product?
7 X 8 = 56
What is the product?What is the product?
8 X 9 = 72
MultipleMultiple
The product of a whole number The product of a whole number multiplied times any other whole multiplied times any other whole number.number.
Some multiples of 6 6, 12, 18, 24, 30, 36, 42
Name some multiples of Name some multiples of 55
5, 10, 15, 20, 25, 30, 35
Name some multiples of Name some multiples of 77
7, 14, 21, 28, 35, 42, 49
Name some multiples of Name some multiples of 44
4, 8, 12, 16, 20, 24, 28
Name some multiples of Name some multiples of 99
9, 18, 27, 36, 45, 54, 63
Common MultipleCommon Multiple
A number that is a A number that is a multiple of two or more multiple of two or more numbers.numbers.
Some multiples of 3 & 6
6, 12, 18, 24, 30, 36, 42
What are some Common What are some Common Multiples for 2 & 8?Multiples for 2 & 8?
8, 16, 24, 32, 40, 48, 56
What are some Common What are some Common Multiples for 4 & 6?Multiples for 4 & 6?
12, 24, 36, 48, 56, 60
What are some Common What are some Common Multiples for 3 & 7?Multiples for 3 & 7?
21, 42, 63
What are some Common What are some Common Multiples for 5 & 10?Multiples for 5 & 10?
10, 20, 30, 40, 50, 60
Least Common MultipleLeast Common Multiple
The smallest common The smallest common multiple of a set of two or multiple of a set of two or more numbers.more numbers.
6 = 6, 12, 18, 24, 30, 36
5 = 5, 10, 15, 20, 25, 30
What is the Least What is the Least Common Multiple of 3 & Common Multiple of 3 &
88
8 = 8, 16, 24, 32, 40, 48 3 = 3, 6, 9, 12, 15, 21, 24
What is the Least What is the Least Common Multiple of 4 & Common Multiple of 4 &
88
8 = 8, 16, 24, 32, 40, 48 4 = 4, 8, 12, 16, 20, 24
What is the Least What is the Least Common Multiple of 6 & Common Multiple of 6 &
88
8 = 8, 16, 24, 32, 40, 48 6 = 6, 12, 18, 24, 30, 36
What is the Least What is the Least Common Multiple of 4 & Common Multiple of 4 &
1010
10 = 10, 20, 30, 40, 50, 4 = 4, 8, 12, 16, 20, 24
What is the Least What is the Least Common Multiple of 3 & Common Multiple of 3 &
99
9 = 9, 18, 27, 36, 45, 54 3 = 3, 6, 9, 12, 15, 21,
Let’s watch a short video Let’s watch a short video to review!to review!
To Add or Subtract To Add or Subtract Fractions With Unlike Fractions With Unlike
DenominatorsDenominators
Find the multiples of Find the multiples of each denominator.each denominator.
1= 5, 10, 15, 20, 25, 30
1= 10, 20, 30, 40, 50+
5
10
To Add or Subtract To Add or Subtract Fractions With Unlike Fractions With Unlike
DenominatorsDenominators Compare the lists of multiples. Compare the lists of multiples.
Circle the common multiples Circle the common multiples between the two lists.between the two lists.
15 = 5, 10, 15, 20, 25, 301
10 = 10, 20, 30, 40, 50+
To Add or Subtract To Add or Subtract Fractions With Unlike Fractions With Unlike
DenominatorsDenominators
Use the lowest common Use the lowest common multiple as the denominator.multiple as the denominator.
15 = 5, 10, 15 ,20 ,25 ,301
10 = 10, 20, 30, 40, 50+
To Add or Subtract To Add or Subtract Fractions With Unlike Fractions With Unlike
DenominatorsDenominators
This number is also called the This number is also called the least common denominator.least common denominator.
15 = 5, 10, 15 ,20 ,25 ,301
10 = 10, 20, 30, 40, 50+
Find the Least Common Find the Least Common Denominator or Least Common Denominator or Least Common
MultipleMultiple
12 = 2, 4, 6, 8, 10, 1218 = 8, 16, 24, 32, 40+
Find the Least Common Find the Least Common Denominator or Least Common Denominator or Least Common
MultipleMultiple
110 = 10, 20, 30, 40, 18 = 8, 16, 24, 32, 40+
Find the Least Common Find the Least Common Denominator or Least Common Denominator or Least Common
MultipleMultiple
110 = 10, 20, 30, 40, 14 = 4, 8, 12, 16, 20, +
Find the Least Common Find the Least Common Denominator or Least Common Denominator or Least Common
MultipleMultiple
12 = 2, 4, 6, 8, 10, 14 = 4, 8, 12, 16, 20, +
Find the Least Common Find the Least Common Denominator or Least Common Denominator or Least Common
MultipleMultiple
12 = 2, 4, 6, 8, 10, 12 112 = 12, 24, 36, 48 +
Find the Least Common Find the Least Common Denominator or Least Common Denominator or Least Common
MultipleMultiple
13 = 3, 6, 9, 12, 15 14 = 4, 8, 12, 16, 20, +
Find the Least Common Find the Least Common Denominator or Least Common Denominator or Least Common
MultipleMultiple
13 = 3, 6, 9, 12, 15 15 = 5, 10, 15, 20, 25, +
Find the Least Common Find the Least Common Denominator or Least Common Denominator or Least Common
MultipleMultiple
13 = 3, 6, 9, 12, 15 19 = 9, 18, 27, 36, 45, +
Shortcut for Finding the Least Shortcut for Finding the Least Common Denominator or Least Common Denominator or Least
Common MultipleCommon 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 Shortcut for Finding the Least Common Denominator or Least Common Denominator or Least
Common MultipleCommon 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 Shortcut for Finding the Least Common Denominator or Least Common Denominator or Least
Common MultipleCommon 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 Shortcut for Finding the Least Common Denominator or Least Common Denominator or Least
Common MultipleCommon 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 Shortcut for Finding the Least Common Denominator or Least Common Denominator or Least
Common MultipleCommon 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 Shortcut for Finding the Least Common Denominator or Least Common Denominator or Least
Common MultipleCommon 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 Shortcut for Finding the Least Common Denominator or Least Common Denominator or Least
Common MultipleCommon 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 Shortcut for Finding the Least Common Denominator or Least Common Denominator or Least
Common MultipleCommon 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 Shortcut for Finding the Least Common Denominator or Least Common Denominator or Least
Common MultipleCommon Multiple
1318+
Using the shortcut, what is the LCD or LCM?
3 will not divide evenly into 8, so find the least common multiple.
