# Least Common Multiple

Least Common Multiple Created by Cristina Salas Leal November 15, 2007 Objective The students will identify multiples of positive whole numbers and find the least common multiple in the set.

TEKS (6.1F) The student is expected to identify multiples of a positive integer and common multiples and the least common multiple of a set of positive integers. Math Journal Take a few minutes to write the question and respond. What

does LCM stand for? What is a multiple? When is the LCM used in the real world? What is a multiple? A multiple of a number is its product of that number with a whole number.

Example 4x1=4 4x2=8 4 x 3 = 12 4 x 4 = 16 4 x 5 = 20 multiples of 4: 4, 8, 12, 16, 20 What is LCM? LCM The

Least Common Multiple least common multiple is the least multiple that two more numbers have in common. Find the LCM of 6 and 8 Step 1 List the multiples of 6 multiples of 6: 6, 12, 18, 24, 30, 36, Step 2 List the multiples of 8 multiples of 8: 8, 16, 24, 32, 40, 48,

Step 3 Find the common multiples 6: 6, 12, 18, 24, 30, 36, 8: 8, 16, 24, 32, 40, 48, ... Step 4 The LCM of 6 and 8 is 24 Birthday Party Cindy is having a birthday party. She must buy plates, cups and napkins. Plates come in a pack 25. Cups come in a pack of 20 and napkins come in pack of 100. Cindy wants to have the same number of each. How many packages of cups, napkins and plates should she

buy? Birthday Party Problem Cont What information is given? Cups 20-pack Plates 25-pack Napkins 100-pack Find the LCM 1 pack

2 packs 3 packs 4 packs 5 packs Cups 20 40 60 80 100

Plates 25 50 75 100 125

Napkins 100 200 300 400 500 Birthday Party problem cont.

Cindy would need to buy 5 packages of cups 4 packages of plates 1 package of napkins Internet Websites Match the answer to the problem on this website. Check to see how many you answered

correctly. Click here - LCM Test your self. How many LCM problems can you answer in 60 seconds? Click here aaamath Scroll down - Play the Countdown Game Thank You

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