1. Warm Up 10/21/15 1. List all the factors of 40. 2. List all the factors of 60. 3. Find the greatest common factor of 40 and 60.

2. Least Common Multiple (LCM)

3. Essential Question: How do I find the least common multiple of two or three numbers? Common Core Objective: 6.NS.4 Students will be able to identify the least common multiple of two or three one, two, and three digit numbers. Least Common Multiple (LCM)

4. Vocabulary:  Multiple – a number that can be produced by multiplying a smaller number  Ex: 4 is a multiple of 2  Least Common Multiple – the least non-zero common multiple of two or more numbers. Least Common Multiple (LCM)

5. When thinking about finding the Least Common Multiple, or the LCM… REMEMBER L …The smallest number L …The smallest number C …all terms in common C …all terms in common M …from their list of multiples M …from their list of multiples Least Common Multiple (LCM)

6. Finding the LCM: Method 1 – Multiple List Example 1: Find the LCM of 4 and 9. Step 1: Create a list of multiples for each number Step 2: Circle the first multiple the numbers have in common 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, … The LCM of 4 and 9 is 36 Least Common Multiple (LCM) 9: 9, 18, 27, 36, 45, 54, 63,…

7. Finding the LCM: Method 1 – Multiple List Example 2: Find the LCM of 10 and 12. Least Common Multiple (LCM) Step 1: Create a list of multiple for each number Step 2: Circle the first multiple the numbers have in common 10: 10, 20, 30, 40, 50, 60, 70, 80,… The LCM of 10 and 12 is 60 12: 12, 24, 36, 48, 60, 72, 84,…

8. Finding the LCM: Method 1 – Multiple List Example 3: Find the LCM of 12 and 16. Least Common Multiple (LCM) Step 1: Create a list of multiple for each number Step 2: Circle the first multiple the numbers have in common

9. Finding the LCM: Method 1 – Multiple List Example 3: Find the LCM of 12 and 16. Least Common Multiple (LCM) Step 1: Create a list of multiple for each number Step 2: Circle the first multiple the numbers have in common The LCM of 12 and 16 is 48 12: 12, 24, 36, 48, 60, 72, 84, 96, … 16: 16, 32, 48, 64, 80, 96,… FYI…there is always more than one multiple for any set of numbers

10. Guided Practice Problems Directions: Find the LCM for each number set. 1. 9 and 12 2. 4, 8, and 12 3. 2, 3, 6, and 8 Least Common Multiple (LCM)

11. Guided Practice Problems Directions: Find the LCM for each number set. 1. 9 and 12=> 6 2. 4, 8, and 12=> 16 3. 2, 3, 6, and 8=> 24 Least Common Multiple (LCM)

12. Independent Practice Problems Directions: Find the LCM for each number set. 1. 6 and 10 2. 2, 4, and 5 3. 4, 6, and 8 Least Common Multiple (LCM)

13. Independent Practice Problems Directions: Find the LCM for each number set. 1. 6 and 10=> 30 2. 2, 4, and 5 => 20 3. 4, 6, and 8=> 24 Least Common Multiple (LCM)