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LCM:

LCM:. Least Common Multiple. LCM. Definition: The LCM of two or more numbers is the least number that is a multiple of all the numbers . Based on Tick-Tock Multiples, what is the LCM of 4 and 6?. METHOD #2. 12 15. 3. Divide out a common factor from both 12 and 15.

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LCM:

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  1. LCM: Least Common Multiple

  2. LCM • Definition: • The LCM of two or more numbers is the least number that is a multiple of all the numbers. • Based on Tick-Tock Multiples, what is the LCM of 4 and 6?

  3. METHOD #2 12 15 3 Divide out a common factor from both 12 and 15 4 and 5 don’t have any common factors so you can stop 4 5 Now multiply 3 x 4 x5 to get the LCM

  4. Try it… Find a common factor between 24 and 56 24 56 4 8 14 See if they have anything else in common and divide it out 2 4 7 If they don’t have any other common Factors, multiply ALL the numbers on the bottom and side.

  5. Check Point #2 • 25 and 15 • Answer: 75 24 and 30 Answer: 120

  6. STORY PROBLEMS • One trip around a running track is 440 yards.  One jogger can complete one lap in 8 minutes, the other can complete it in 6 minutes.  How long will it take for both joggers to arrive at their starting point together if they start at the same time and maintain their jogging pace?  • Answer: 24 minutes

  7. STORY PROBLEM • A businessman goes to Chicago every 18 days for one day and another businessman every 24 days, also for only one day. Today, both men are in Chicago. • Within how many days will the two business men be in Chicago again at the same time? • Answer: 72 days

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