1. Least Common Multiple Least Common Denominator By Monica Yuskaitis Editied by LaDora Loggins

2. Product The answer to a multiplication problem. 6 X 6 = 36

3. What is the product? 7 X 8 = 56

4. What is the product? 8 X 9 = 72

5. Multiple The product of two whole numbers multiplied together Some multiples of 6 1∙6=6, 2∙6=12, 3∙6=18, 4∙6=24, 5∙6=30, 6∙6=36, 7∙6=42, 8∙6=48, 9∙6=54…

6. Without actually multiplying, Name some multiples of 5 5, 10, 15, 20, 25, 30, 35 So… we can see that multiples are the same as counting up by a certain factor.

7. Without actually multiplying, Name some multiples of 7 7, 14, 21, 28, 35, 42, 49 So… by what factor were we counting up? 7

8. Name some multiples of 4 4, 8, 12, 16, 20, 24, 28

9. Name some multiples of 9 9, 18, 27, 36, 45, 54, 63

10. A Common Multiple A number that is a multiple of two or more numbers. Lets look at 3 and 6 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42… 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60… Which multiples do they have in common? 6, 12, 18, 24, 30, 36, 42, 48

11. What are some Common Multiples for 2 & 8? 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34… 8: 8, 16, 24, 32, 40, 48, 56… What are some of the multiples they have in common? 8, 16, 24, 32, ….

12. What are some Common Multiples for 4 & 6? 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, … 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60… What are some of the multiples they have in common? 12, 24, 36, 48….

13. What are 3 Common Multiples for 3 & 7? 21, 42, 63

14. What are 6 Common Multiples for 5 & 10? 10, 20, 30, 40, 50, 60

15. A 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

16. What is the Least Common Multiple of 3 & 8 8 = 8, 16, 24, 32, 40, 48 3 = 3, 6, 9, 12, 15, 21, 24 Or we can use the “L” Method We can list them out 3 81 Take out the GCF and then Multiply all the numbers in the “L” 24

17. What is the Least Common Multiple of 4 & 8 8 = 8, 16, 24, 32, 40, 48 4 = 4, 8, 12, 16, 20, 24 4 82 2 4 2 1 2 8 Take out the GCF and then Multiply all the numbers in the “L”

18. What is the Least Common Multiple of 6 & 8 8 = 8, 16, 24, 32, 40, 48 6 = 6, 12, 18, 24, 30, 36 6 82 3 4 24 Take out the GCF and then Multiply all the numbers in the “L”

19. What is the Least Common Multiple of 4 & 10 10 = 10, 20, 30, 40, 50, 4 = 4, 8, 12, 16, 20, 24 4 102 2 5 Take out the GCF and then Multiply all the numbers in the “L” 20

20. What is the Least Common Multiple of 3 & 9 9 = 9, 18, 27, 36, 45, 54 3 = 3, 6, 9, 12, 15, 21, Multiply all the numbers in the “L” 3 93 1 3 9

21. To Add or Subtract Fractions With Unlike Denominators Remember! Yesterday we learned that to add or subtract fractions they needed to have the same denominator. 1 = 5, 10, 15, 20, 25, 30 1 = 10, 20, 30, 40, 50 + 5 10 If they do not, then we can not operate until they do.

22. 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 +

23. 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 +

24. To Add or Subtract Fractions With Unlike Denominators This number is also called the least common denominator. This number is also called the least common denominator. 1 5 = 5, 10, 15,20,25,30 1 10 = 10, 20, 30, 40, 50 +

25. Find the Least Common Denominator or Least Common Multiple 1 2 = 2, 4, 6, 8, 10, 12 1 8 = 8, 16, 24, 32, 40 + 2 82 1 4 8

26. Find the Least Common Denominator or Least Common Multiple 1 10 = 10, 20, 30, 40, 1 8 = 8, 16, 24, 32, 40 + 8 102 4 5 40

27. Find the Least Common Denominator or Least Common Multiple 1 10 = 10, 20, 30, 40, 1 4 = 4, 8, 12, 16, 20, + 10 42 5 2 20

28. Find the Least Common Denominator or Least Common Multiple 1 2 = 2, 4, 6, 8, 10, 1 4 = 4, 8, 12, 16, 20, + 4 2 42 1 2

29. Find the Least Common Denominator or Least Common Multiple 1 2 = 2, 4, 6, 8, 10, 12 1 12 = 12, 24, 36, 48 + 2 122 1 6 12

30. Find the Least Common Denominator or Least Common Multiple 1 3 = 3, 6, 9, 12, 15 1 4 = 4, 8, 12, 16, 20, + 3 41 12

31. Find the Least Common Denominator or Least Common Multiple 1 3 = 3, 6, 9, 12, 15 1 5 = 5, 10, 15, 20, 25, + 15 3 51

32. Find the Least Common Denominator or Least Common Multiple 1 3 = 3, 6, 9, 12, 15 1 9 = 9, 18, 27, 36, 45, + 9 3 93 1 3