LCM.notebook

1

September 27, 2010

Define the following words:least =

common =

multiple =Jupiter revolves around the Sun every 12 Earth years and Saturn every 30 Earth years. What is the time required for the planets to coincide?

What was your method of madness? Do you think there is a mathematical process?

Saturn

Jupiter

LCM.notebook

2

September 27, 2010

Find the LCM of the set of numbers.1) 5 and 12

2) 2 and 11

3) 18 and 20

LCM.notebook

3

September 27, 2010

How about these?

1) 21, 28

2) 15k, 35k2

LCM

21 28

LCM

15k 35k2

2 3 5 7 k

LCM.notebook

4

September 27, 2010

Mandy works every other day, Hannah every third day, and Clay every fifth day. All three worked together on Tuesday, October 1. They all work at the same company.

a) How often will Mandy and Clay work together?

b) On what date will Hannah and Clay work together?

c) On what date will all three work together again?

every 10 days

Wednesday, October 16

Thursday, October 31

LCM.notebook

5

September 27, 2010

Do you think you can handle 3 numbers and variables?

4) 5, 8, 10

5) 7, 12, 84

6) 9, 12, 15

7) 2, 3x, 5y

8) 4r, 10r2, 12r3

LCM.notebook

6

September 27, 2010

Mrs. Ryan and her 23 students are planning to have hot dogs at their class picnic. Hot dogs come in packages 12 and hot dog buns come in packages of 8. What is the smallest number of packages of hot dogs and the smallest number of packages of buns Mrs. Ryan can buy so that everyone, including herself, get the same number of hot dogs and buns and there are no leftovers?

Ms. Lewis wants to make packages of science supplies for herstudents. Lab coats come 4 to a box, test tubes come 27 to a box, and safety glasses come 12 to a box.a. What is the least number of kits she can make if she wants each kit to be the same and she wants no supplies left over? b. How many boxes of lab coats does she need to buy? c. How many boxes of test tubes does she need to buy? d. How many boxes of safety glasses does she need to buy?

7) Three clocks ring one at the same time. After that, the first clock rings after every 90 minutes, the second after every 30 minutes, and third after every 60 minutes. After how many minutes will they again ring together?

LCM.notebook

7

September 27, 2010

25180 

composite 1, 3, 13, 39 25 3 13

48 2 and 4 5 32 7

110 2 prime140

LCM.notebook

8

September 27, 2010

composite 1, 3, 13, 39 25 3 13

48 2 and 4 5 32 7

110 2 prime140

LCM.notebook

9

September 27, 2010