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.

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Presentation transcript:

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

Least Common Multiple (LCM)

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)

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)

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)

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,…

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,…

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

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

Guided Practice Problems Directions: Find the LCM for each number set and , 8, and , 3, 6, and 8 Least Common Multiple (LCM)

Guided Practice Problems Directions: Find the LCM for each number set and 12=> , 8, and 12=> , 3, 6, and 8=> 24 Least Common Multiple (LCM)

Independent Practice Problems Directions: Find the LCM for each number set and , 4, and , 6, and 8 Least Common Multiple (LCM)

Independent Practice Problems Directions: Find the LCM for each number set and 10=> , 4, and 5 => , 6, and 8=> 24 Least Common Multiple (LCM)