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Multiples, Common Multiples, and Least Common Multiple

How to find the LCM of a set of numbers, and apply this to a real-life situation.
by

Jessica Alexander

on 24 March 2011

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Transcript of Multiples, Common Multiples, and Least Common Multiple

Least Common Multiple Multiples Common Multiples LCM LCM in real-life When you go to the grocery store, do you ever notice that hot dog buns are sold in packages of 12... And hot dogs are sold in packages of 8... If I want to have no hot dogs or buns leftover.... How many packages of each do I need to buy? State Standards Your objective(s)... Do you get it??? TEKS 6.1F Identify multiplies of a positive integer and common multiples of a set of positive integers. List multiples of numbers
Identify the common multiples of more than one number
Identify the least common multiple of more than one number A multiple of a number is what you get when you multiply the number... The first 7 multiples of 8 are... 8.....16......24......32.....40......48.....56.....64 8 X 1 8 X 2 8 X 3 8 X 4 8 X 5 8 X 6 8 X 7 8 X 8 The multiples that two or more numbers have in common... The common multiples of 8 and 12 are... The first 7 multiples of 12 are ... 12....24.....36.....48.....60.....72......84......96 12 X 1 12 X 2 12 X 3 12 X 4 12 X 5 12 X 6 12 X 7 12 X 8 24...48 The least common multiple... (SMALLEST) The LCM of 8 and 12 is..... 24 or 48? How many packages of buns should you purchase? The LCM tells us that you need 24 hot dogs and 24 buns...how many packages is this? If you want none leftover... This information would have been very helpful to Mr. Banks... Lets see... You are decorating your house with three different strands of holiday lights. The red strand blinks every 4 seconds, the green strand blinks every 6 seconds, and the white strand blinks every 10 seconds. How many seconds will go by until the three strands all blink at the same time? Were we successful? What is
LCM?
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