1. Least Common Multiple (LCM)
The smallest number, other than zero, that is a multiple of two or more given numbers

2. 3 Methods for finding the LCM
Method 1: Use a number line Ex. 3 & 4
Method 2: Use a list
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60
6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
Method 3: Use Prime Factorization Ex. 8 & 12
8 = 2 • 2 • 2
12 = 2 • 2 • 3
2 • 2 • 3 • 2 = LCM of 8 & 12

3. More Method 2 Examples: (2 numbers)
2 & 8
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28
8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
LCM = 8
4 & 10
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120
LCM = 20

4. More Method 3 Examples: (2 numbers)
4 & 9
4= 2 • 2
9= 3 • 3
3 • 3 • 2 • 2 = 36
6 & 10
6= 2 • 3
10= 2 • 5
2 • 5 • 3 = 30
* LCM for 4 & 9 is 36
* LCM for 6 & 10 is 30

5. More Method 2 Examples: (3 numbers)
2, 6, & 11
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, , 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68
6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121
LCM = 66
3, 8, & 12
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36
8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
LCM = 24

6. More Method 3 Examples: (3 numbers)
3, 7 & 10
3= 3
7= 7
10= 2•5
2•5 • 7 • 3 = 210
3, 6 ,& 9
6= 3 • 2
9= 3 • 3
3 • 3 • 2 = 18
* LCM for 3, 7, & 10 is 210
* LCM for 3, 6, & 9 is 18