08 LCM Least Common MultipleLeast = _________

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

604020

80120

6090

100120

Least Common Multiple

Example 1

The large wheel makes one revolution in 50 seconds &

the small wheel makes one revolution in 30 seconds.

50

906030

120200

100150

150180

Least Common Multiple