Least Common Multiple using the cake method.

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Presentation transcript:

Least Common Multiple using the cake method

2 6 8 3 4 LCM of 6 and 8 LCM: 2x3x4=24 x What is the smallest prime number that goes into both 6 and 8? Now divide both 6 and 8 by the 2 LCM of 6 and 8 x 2 6 8 What is the smallest prime number that goes into both 3 and 4? 3 4 LCM: 2x3x4=24 Nothing? Then circle outside “L” and multiply the numbers to get LCM.

2 8 12 2 4 6 2 3 LCM LCM: 2x2x2x3=24 x x prime # that goes into both What’s the smallest prime number that goes into 8 and 12? Is there another prime # that goes into both 4 and 6? LCM x 2 8 12 x How about 2 and 3? 2 4 6 2 3 No? Circle the “L” and multiply. LCM: 2x2x2x3=24

pg. 166 practice #4,5,7 7 9 6 15

pg. 167 practice #5,6 5 6 6 9

Homework: Solve the following problems in your math journal: Find the least common multiple of: 7 and 10 7 and 49 5 and 10 12 and 18 8 and 28 6 and 14 12 and 15 9 and 24

Exit Slip There are 36 cans of green beans and 48 cans of corn. The display designer wants an equal number of each vegetable in each row. What is the greatest number of cans that can be in each row? Shuttle A comes every 6 minutes and Shuttle B comes every 9 minutes. It both shuttles just came to the airport, in how many minutes will they both come again?