Name:_______________________
Math 7 Accel.
Worksheet: GCF and LCM Review
November 12. 2012
1. Find the GCF of each set of monomials. Circle your answers.
a.) 30, 150
b.) 12, 18, 24, 36
2. Find the GCF and LCM for the each set of monomials:
a.) 324, 54 , 36
GCF = ____________
LCM = ___________
b.) 12
,15
GCF = ____________
LCM = ___________
c.) 18
,12
,20
GCF = ____________
LCM = ___________
3.) Simplify the following fraction:
4.) At Central Station, an express train arrives every 20 minutes and a local train arrives every
12 minutes. On the street outside the station, a bus stops every 18 minutes. As you step off
the express train you see that a local train and a bus are arriving at that same instant. How
long will it be before all three arrive again at the same time?
5.) Ron, Jon, and Don are go-kart racers. At the Podunk Speedway, Ron completes each lap in
exactly 3 minutes, Jon takes exactly 2 minutes for each lap, and Don does each lap in exactly
1½ minutes. They all start racing from the START/FINISH line at 1:00.
a.) What time will it be when they are all back at the START/FINISH line again together?
b.) How many laps will Jon have driven at this time?
6.) You have the following assortment of treats to put into bags for trick-or-treaters:

72 Snickers bars

120 Packages of Twizzlers

168 Bags of M & Ms

144 Lollipops
a.) How many bags can you fill if each bag must contain exactly the same mix of candy
and you don’t want any candy left over?
b.) How many of each item are in a bag?
Challenge:
Are the following two monomials equivalent? Show all work to receive credit!
and