1. 7-4 Common Multiples
and LCM
Math Notes
Number Sense 2.4

2. Example
Find the Least Common Multiple (GCF) of 4 and 6.

3. Example
Find the Least Common Multiple (GCF) of 4 and 6.
STEP ONE: List the MULTIPLES of 4.

4. Example
Find the Least Common Multiple (GCF) of 4 and 6.
STEP ONE: List the MULTIPLES of 4.
4:

5. Example
Find the Least Common Multiple (GCF) of 4 and 6.
STEP ONE: List the MULTIPLES of 4.
4: 4,8,12,16,20,24,28

6. Example
Find the Least Common Multiple (GCF) of 4 and 6.
4: 4,8,12,16,20,24,28

7. Example
Find the Least Common Multiple (GCF) of 4 and 6.
STEP TWO: List the MULTIPLES of 6.
4: 4,8,12,16,20,24,28

8. Example
Find the Least Common Multiple (GCF) of 4 and 6.
STEP TWO: List the MULTIPLES of 6.
4: 4,8,12,16,20,24,28
6:

9. Example
Find the Least Common Multiple (GCF) of 4 and 6.
STEP TWO: List the MULTIPLES of 6.
4: 4,8,12,16,20,24,28
6: 6,12,18,24,30,36

10. Example
Find the Least Common Multiple (GCF) of 4 and 6.
4: 4,8,12,16,20,24,28
6: 6,12,18,24,30,36

11. Example
Find the Least Common Multiple (GCF) of 4 and 6.
STEP THREE: Find the common multiples in both list.
4: 4,8,12,16,20,24,28
6: 6,12,18,24,30,36

12. Example
Find the Least Common Multiple (GCF) of 4 and 6.
4: 4,8,12,16,20,24,28
6: 6,12,18,24,30,36

13. Example
Find the Least Common Multiple (GCF) of 4 and 6.
4: 4,8,12,16,20,24,28
6: 6,12,18,24,30,36
Which is the
common
multiple?

14. Example
Find the Least Common Multiple (GCF) of 4 and 6.
4: 4,8,12,16,20,24,28
6: 6,12,18,24,30,36
Which is the
LCM is 24 common
multiple?

15. Example
Find the Least Common Multiple (GCF) of 9 and 15.

16. Example
Find the Least Common Multiple (GCF) of 9 and 15.
STEP ONE: List the MULTIPLES of 9.

17. Example
Find the Least Common Multiple (GCF) of 9 and 15.
STEP ONE: List the MULTIPLES of 9.
9:

18. Example
Find the Least Common Multiple (GCF) of 9 and 15.
STEP ONE: List the MULTIPLES of 9.
9: 9,18,27,36,45,54,60

19. Example
Find the Least Common Multiple (GCF) of 9 and 15.
9: 9,18,27,36,45,54,60

20. Example
Find the Least Common Multiple (GCF) of 9 and 15.
STEP TWO: List the MULTIPLES of 15.
9: 9,18,27,36,45,54,60

21. Example
Find the Least Common Multiple (GCF) of 9 and 15.
STEP TWO: List the MULTIPLES of 15.
9: 9,18,27,36,45,54,60
15:

22. Example
Find the Least Common Multiple (GCF) of 9 and 15.
STEP TWO: List the MULTIPLES of 15.
9: 9,18,27,36,45,54,60
15: 15,30,45,60,75,90

23. Example
Find the Least Common Multiple (GCF) of 9 and 15.
9: 9,18,27,36,45,54,60
15: 15,30,45,60,75,90

24. Example
Find the Least Common Multiple (GCF) of 9 and 15.
STEP THREE: Find the common multiples in both list.
9: 9,18,27,36,45,54,60
15: 15,30,45,60,75,90

25. Example
Find the Least Common Multiple (GCF) of 9 and 15.
9: 9,18,27,36,45,54,60
15: 15,30,45,60,75,90

26. Example
Find the Least Common Multiple (GCF) of 9 and 15.
9: 9,18,27,36,45,54,60
15: 15,30,45,60,75,90
Which is the
common
multiple?

27. Example
Find the Least Common Multiple (GCF) of 9 and 15.
9: 9,18,27,36,45,54,60
15: 15,30,45,60,75,90
Which is the
LCM is 45 common
multiple?

28. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.

29. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
STEP ONE: List the multiples of 8.

30. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
STEP ONE: List the multiples of 8.
8:

31. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
STEP ONE: List the multiples of 8.
8: 8,16,24,32,40,48,56

32. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
8: 8,16,24,32,40,48,56

33. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
STEP TWO: List the multiples of 10.
8: 8,16,24,32,40,48,56

34. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
STEP TWO: List the multiples of 10.
8: 8,16,24,32,40,48,56
10:

35. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
STEP TWO: List the multiples of 10.
8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70

36. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70

37. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
STEP THREE: List the multiples of 40.
8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70

38. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
STEP THREE: List the multiples of 40.
8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
40:

39. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
STEP THREE: List the multiples of 40.
8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
40: 40,80,120,160,200,240

40. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
40: 40,80,120,160,200,240

41. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
STEP FOUR: Find the common multiples in all 3 lists.
8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
40: 40,80,120,160,200,240

42. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
40: 40,80,120,160,200,240

43. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
40: 40,80,120,160,200,240
Which multiple
do they have in
common?

44. Example
Find the Least Common Multiple (LCM) of 8, 10, and 40.
8: 8,16,24,32,40,48,56
10: 10,20,30,40,50,60,70
40: 40,80,120,160,200,240
Which multiple
LCM is 40 do they have in
common?