2. When finding multiples, you can list all of the products after multiplying it by 1, 2, 3, 4… Finding the Least Common Multiple For example, Multiples of 4:4, 8, 12, 16, 20, 24, 28, 32, … Multiples of 6:6, 12, 18, 24, 30, 36, 42, 48, … Multiples of 8:8, 16, 24, 32, 40, 48, 56, 64, … DISCUSS: For the multiples of 4, 6, and 8, which multiples are common with all three?

3. Finding the Least Common Multiple Multiples of 4:4, 8, 12, 16, 20, 24, 28, 32, … Multiples of 6:6, 12, 18, 24, 30, 36, 42, 48, … Multiples of 8:8, 16, 24, 32, 40, 48, 56, 64, … So, we see a common multiple of 24, but there are more common multiples. Since 24 is the smallest value of all of the common multiples, it is considered the Least Common Multiple for 4, 6, and 8.

4. Using the Cake Method to find LCM Find the LCM for 4 and 6 4 6 The LCM is 12. 2 2 3 2 2 3 Multiply all of the side numbers AND the last row to find the LCM

5. Using the Cake Method to find LCM Find the LCM for 4a 3 b and 6a 2 c 4a 3 b 6a 2 c The LCM is 12a 3 bc. 2 2a 3 b 3a 2 c 2 a a 2ab 3c a 2a 2 b 3aca 2ab 3c

6. Finding the LCM of three or more numbers Find the LCM for 4, 6, and 8 4 6 The LCM is 24. 2 2 3 2 2 3 First find the LCM of two of the numbers 12 8 4 3 2 Then use the first LCM and the third number LCM is 12 4 3 2

7. You try: Find the LCM of 125, 500 500

8. You try: Find the LCM of

9. Homework Page 231 (20-42) even (ignore the directions in the book and just use the cake method to find the LCM)