1. Least Common Multiple
Determine greatest common factors and least common multiples. Use common factors and common multiples to calculate with fractions and find equivalent fractions.

2. I can… Find the least common multiple of 2 or more numbers
Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

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

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

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

6. Some multiples of 6 6, 12, 18, 24, 30, 36, 42 Multiple
The product of a whole number multiplied times any other whole number. (SKIP COUNTING)
Some multiples of 6
6, 12, 18, 24, 30, 36, 42

7. Name some multiples of 5
5, 10, 15, 20, 25, 30, 35

8. Name some multiples of 7
7, 14, 21, 28, 35, 42, 49

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

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

11. Some multiples of 3 & 6 6, 12, 18, 24, 30, 36, 42 Common Multiple
A multiple that is shared between two or more numbers.
Some multiples of 3 & 6
6, 12, 18, 24, 30, 36, 42

12. What are some Common Multiples for 2 & 8?
8, 16, 24, 32, 40, 48, 56

13. What are some Common Multiples for 4 & 6?
12, 24, 36, 48, 56, 60

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

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

16. Least Common Multiple
The smallest common multiple of a set of two or more numbers.
5 = 5, 10, 15, 20, 25, 30
6 = 6, 12, 18, 24, 30, 36

17. 3 Methods to find LCM Multiple List Factor Tree
Upside Down Cake Method

18. What is the Least Common Multiple of 3 & 8
Multiple List
3 = 3, 6, 9, 12, 15, 21, 24
8 = 8, 16, 24, 32, 40, 48

19. Factor Tree
Multiply together the prime factors. Use each prime factor the greatest number of times it is a factor of any of the numbers. 8 3
2 x 4
1 x 3
2 x 2 x 2
1 x 2 x 2 x 2 x 3 = 24

20. Upside Down Cake Method
3 8 1 3 8
1 x 3 x 8 = 24

21. What is the Least Common Multiple of 4 & 8
42 = 42, 84, 126, 168, 210, 253, 294, 336, 378, 420
60 = 60, 120, 180, 240, 300, 360, 420

22. Factor Tree
Be sure to circle the factors that are share by both numbers so that you don’t over multiply!!!!!! 42 60
2 x 30
2 x 21
2 x 3 x 7
2 x 2 x 15
2 x 2 x 3 x 5
2 x 3 x 7 x 2 x 5 = 420

23. Upside Down Cake Method 6 7 10
6 x 7 x 10 = 420

24. What is the Least Common Multiple of 6 & 8
6 = 6, 12, 18, 24, 30, 36
8 = 8, 16, 24, 32, 40, 48

25. Factor Tree
Be sure to circle the factors that are share by both numbers so that you don’t over multiply!!!!!! 8 6
2 x 4
2 x 3
2 x 2 x 2
2 x 2 x 2 x 3 = 24

26. Upside Down Cake Method
6 8 2 3 4
2 x 3 x 4 = 24

27. What is the Least Common Multiple of 50 & 90
50 = 50, 100, 150, 200, 250, 300, 350, 400, 450
90 = 90, 180, 270, 360, 450

28. Factor Tree
Be sure to circle the factors that are share by both numbers so that you don’t over multiply!!!!!! 50 90
2 x 45
2 x 25
2 x 5 x 5
2 x 3 x 15
2 x 3 x 3 x 5
2 x 5 x 5 x 3 x 3 = 450

29. Upside Down Cake Method5
50 90 2 10 18
5 x 2 x 5 x 9 = 450

30. Your Turn…
Find the LCM of 8 and 12 method) 24

31. Your Turn…
Find the LCM of 8 and 14method) 56

32. I can… Find the least common multiple of 2 or more numbers
Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

33. in your math notebook Daily Check 5.4
Find the LCM for each pair of numbers
9 and 15
16 and 20
70 and 175?