Common Multiples

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Grade Level

• Middle School

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Subject

• Mathematics

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Length of Time

• 1 Hour

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Description

• Students will learn about common multiples between two numbers. They will also find the lowest common multiple. They will have a worksheet to do.

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Goals

• Students will learn:
  
  * About Common Multiples
  
  * About Lowest Common Multiples
  
  

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Materials Needed

• * Worksheet that I have included
  
  * Pencils and Erasers
  

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Procedure

• First, you will copy the worksheet so that each one will have a copy.
  
  Then, you will explain common multiples. Then, you will give them an example of common multiples and the lowest common multiple.
  
  Example to write on the board:
  
  What are the multiples of 4 and 6?
  
  4, 8, 12, 16, 20, 24, 28, 32, 36, 40
  
  6, 12, 18, 24, 30, 36, 42, 48, 54, 60
  
  The common multiples are the multiples that 4 and 6 have in common. The lowest common multiple is the multiple that is the smallest number that each number has in common.
  
  In the example above, the common multiples are 12, 24, and 36.
  
  The lowest common multiple is 12. It is the smallest number that 4 and 6 have in common.
  
  After you have explained how to do this, then you can give them the worksheet.
  
  
  
  
  Worksheet - Common Multiples
  
  Directions: First, you need to write the multiples of each number. Then, you need to find the common multiples. After that, you need to find the lowest common multiple.
  
  1. 2 and 4
  
  
  
  2. 5 and 7
  
  
  
  3. 3 and 6
  
  
  
  4. 7 and 8
  
  
  
  5. 3 and 9
  
  
  
  6. 5 and 8
  
  
  
  7. 6 and 7
  
  
  
  8. 3 and 4
  
  
  
  9. 2 and 7
  
  
  
  10. 9 and 10
  
  
  
  11. 4 and 6
  
  
  
  12. 8 and 9
  
  
  
  13. 5 and 7
  
  
  
  14. 4 and 10
  
  
  
  15. 3 and 5
  
  
  
  16. 4 and 7
  
  
  
  17. 5 and 9
  
  
  
  18. 6 and 9
  
  
  
  19. 7 and 10
  
  
  
  20. 8 and 9
  
  
  
  
  Answer Sheet
  
  1. 2 and 4 = The Lowest Common Multiple is 4.
  
  2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
  4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
  
  2. 5 and 7 = The Lowest Common Multiple is 35.
  
  5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
  
  7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
  
  3. 3 and 6 = The Lowest Common Multiple is 6.
  
  3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
  
  6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
  
  4. 7 and 8 = The Lowest Common Multiple is 56.
  
  7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
  
  8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
  
  5. 3 and 9 = The Lowest Common Multiple is 9.
  
  3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
  
  9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
  
  6. 5 and 8 = The Lowest Common Multiple is 40.
  
  5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
  
  8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
  
  7. 6 and 7 = The Lowest Common Multiple is 42.
  
  6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
  
  7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
  
  8. 3 and 4 = The Lowest Common Multiple is 12.
  
  3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
  
  4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
  
  9. 2 and 7 = The Lowest Common Multiple is 14.
  
  2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
  
  7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
  
  10. 9 and 10 = The Lowest Common Multiple is 90.
  
  9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
  
  10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
  
  11. 4 and 6 = The Lowest Common Multiple is 12.
  
  4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
  
  6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
  
  12. 8 and 9 = The Lowest Common Multiple is 72.
  
  8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
  
  9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
  
  13. 5 and 7 = The Lowest Common Multiple is 35.
  
  5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
  
  7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
  
  14. 4 and 10 = The Lowest Common Multiple is 20.
  
  4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
  
  10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
  
  15. 3 and 5 = The Lowest Common Multiple is 30.
  
  3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
  
  5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
  
  16. 4 and 7 = The Lowest Common Multiple is 28.
  
  4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
  
  7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
  
  17. 5 and 9 = The Lowest Common Multiple is 45.
  
  5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
  
  9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
  
  18. 6 and 9 = The Lowest Common Multiple is 18.
  
  6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
  
  9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
  
  19. 7 and 10 = The Lowest Common Multiple is 70.
  
  7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
  
  10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
  
  20. 8 and 9 = The Lowest Common Multiple is 72.
  
  8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
  
  9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
  
  
  
  
  
  
  
  

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Grading

• Each problem is worth 5 points.
  
  100 to 90 = A
  
  89 to 80 = B
  
  79 to 70 = C
  
  69 to 60 = D
  
  Below 60 = F
  
  

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