Fraction IX (1)

7/31/2019 Fraction IX (1)

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Fraction IXFraction IX

Least Common MultipleLeast Common MultipleLeast CommonLeast Common

DenominatorDenominatorBy Monica YuskaitisBy Monica Yuskaitis


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ProductProduct

The answer to a multiplicationThe answer to a multiplication

problem.problem.

6 X 6 = 36


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What is the product?What is the product?

7 X 8 = 56


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What is the product?What is the product?

8 X 9 = 72


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MultipleMultiple

The product of a whole numberThe product of a whole numbermultiplied times any other wholemultiplied times any other wholenumber.number.

Some multiples of 66, 12, 18, 24, 30, 36, 42


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Name some multiples of 5Name some multiples of 5

5, 10, 15, 20, 25, 30, 35


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7, 14, 21, 28, 35, 42, 49


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4, 8, 12, 16, 20, 24, 28


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9, 18, 27, 36, 45, 54, 63


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Common MultipleCommon Multiple

A number that is a multipleA number that is a multiple

of two or more numbers.of two or more numbers.

Some multiples of 3 & 6

6, 12, 18, 24, 30, 36, 42


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What are some CommonWhat are some Common

Multiples for 2 & 8?Multiples for 2 & 8?

8, 16, 24, 32, 40, 48, 56


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12, 24, 36, 48, 56, 60


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10, 20, 30, 40, 50, 60


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Least Common MultipleLeast Common Multiple

The smallest common multipleThe smallest common multiple

of a set of two or moreof a set of two or morenumbers.numbers.

6 = 6, 12, 18, 24, 30, 365 = 5, 10, 15, 20, 25, 30


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What is the Least CommonWhat is the Least Common

Multiple of 3 & 8Multiple of 3 & 8

8 = 8, 16, 24, 32, 40, 483 = 3, 6, 9, 12, 15, 21, 24


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8 = 8, 16, 24, 32, 40, 484 = 4, 8, 12, 16, 20, 24


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8 = 8, 16, 24, 32, 40, 486 = 6, 12, 18, 24, 30, 36


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10 = 10, 20, 30, 40, 50,4 = 4, 8, 12, 16, 20, 24


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9 = 9, 18, 27, 36, 45, 543 = 3, 6, 9, 12, 15, 21,


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To Add or Subtract FractionsTo Add or Subtract Fractions

With Unlike DenominatorsWith Unlike Denominators

Find the multiples of eachFind the multiples of each

denominator.denominator.1

= 5, 10, 15, 20, 25, 301

= 10, 20, 30, 40, 50+

5

10


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Compare the lists of multiples.Compare the lists of multiples.Circle the common multiplesCircle the common multiples

between the two lists.between the two lists.15 = 5, 10, 15, 20, 25, 30110 = 10, 20, 30, 40, 50+


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Use the lowest commonUse the lowest common

multiple as the denominator.multiple as the denominator.

15 = 5, 10, 15 ,20 ,25 ,30110 = 10, 20, 30, 40, 50+


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This number is also called theThis number is also called the

least common denominator.least common denominator.

15 = 5, 10, 15 ,20 ,25 ,30110 = 10, 20, 30, 40, 50+


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Find the Least CommonFind the Least CommonDenominator or Least CommonDenominator or Least Common

MultipleMultiple

12 = 2, 4, 6, 8, 10, 121

8 = 8, 16, 24, 32, 40+


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MultipleMultiple

110 = 10, 20, 30, 40,1

8 = 8, 16, 24, 32, 40+


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MultipleMultiple

110 = 10, 20, 30, 40,1

4 = 4, 8, 12, 16, 20,+


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MultipleMultiple

12 = 2, 4, 6, 8, 10,1

4 = 4, 8, 12, 16, 20,+


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MultipleMultiple

12 = 2, 4, 6, 8, 10, 121

12 = 12, 24, 36, 48+


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MultipleMultiple

13 = 3, 6, 9, 12, 151

4 = 4, 8, 12, 16, 20,+


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d h


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MultipleMultiple

13 = 3, 6, 9, 12, 151

9 = 9, 18, 27, 36, 45,+

Sh t t f Fi di th L tSh t t f Fi di th L t


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Shortcut for Finding the LeastShortcut for Finding the LeastCommon Denominator or LeastCommon Denominator or Least


1319+

Check to see if the smaller denominatordivides evenly into the larger denominator.

If it does, use the larger denominator foryour LCD or LCM.

3 will divide evenly into 9,so 9 is your LCD or LCM.



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12

14+

Using the shortcut, what is the LCD orLCM?

2 will divide evenly into 4,

so 4 is your LCD or LCM.



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12

110+




Sh t t f Fi di th L tSho tc t fo Finding the Least


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12

112+




Sh t t f Fi di th L tShortcut for Finding the Least


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14

18+




Sh t t f Fi di th L tShortcut for Finding the Least


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13

16+




Sho tc t fo Finding the LeastShortcut for Finding the Least


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13

112+




Shortcut for Finding the LeastShortcut for Finding the Least


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13

115+




Shortcut for Finding the LeastShortcut for Finding the Least


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13

18+


3 will not divide evenly into

8, so find the least common

multiple.

Fraction IX (1)

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