08 LCM Least Common Multiple

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Presentation transcript:

08 LCM Least Common Multiple Lowest, smallest, littlest Common = Shared, alike, same Multiple = Count by a # the product of any quantity and an integer

Example of Multiples 5 x 1 5 x 2 5 x 3 5 x 4 5 x 5 5 x 6 5 10 15 20 25 30 Now count by 3’s 3 6 9 12 15 18 21 24 27 30 Notice the 1st time they have something in common?

Example You & your friend go to a carnival that has a large & small Ferris wheel. You get on the large one & your friend hops on the small one. The rides begin at the same time. How many seconds will pass before you & your friend are both at the bottom again if:

Example 1 The large wheel makes one revolution in 30 seconds & the small wheel makes one revolution in 20 seconds. 30 20 Least Common Multiple 60 40 90 60 120 80 100 120

Example 1 The large wheel makes one revolution in 50 seconds & the small wheel makes one revolution in 30 seconds. 50 30 100 60 150 90 Least Common Multiple 200 120 150 180