Greatest Common Factor and Least Common Multiple Ms. Towne

What is the least common multiple and greatest common factor of 35 and 42?

• LCM- 2 x 3 x 5 x 7 = 210 , GCF- 7

• LCM- 2 x 3 x 5 x 7 = 210, GCF- 7 x 7 = 49

• LCM- 2 x 3 x 5 x 7 x 7 = 1,470, GCF- 7

• LCM- 2 x 3 x 5 x 5 x 7 = 1, 050, GCF- 7 x 7= 49

Least common multiple is a number _______________ than the two numbers.

Greatest common factor is a number ____________ than the two numbers.

Paula has 54 stickers and 36 pencils that she wants to put in bags.

What is the greatest number of bags she can make and have no stickers and pencils left over?

• The greatest number of bags is 18

• The greatest number of bags is 6

• The greatest number of bags is 9

• The greatest number of bags is 27

A city holds an election for Mayor every 4 years and an election for Treasurer every 6 years. It held elections for both Mayor and Treasurer this year. How many years will it be before the election for Mayor and Treasurer both happen in the same year again?

• The least common multiple is 20

• The least common multiple is 10

• The least common multiple is 12

• The least common multiple is 24

What is seven hundredths (.0___) times three and nine tenths (___ . __)?

(hint: how many numbers behind the decimal point do you have?)

• 0.273

• 2.73

• 27.3

• 273.0

Which of the following is the remainder for 541  $\div$  19? 
Not the answer! The number left over!

• 11

• 16

• 9

• 19

Delia arranged all of her seashells into 4 equal rows. Then she re-arranged them into 10 equal rows. What is the smallest possible number of seashells Delia could have?

• The least common multiple is 12

• The least common multiple is 14

• The least common multiple is 20

• The least common multiple is 40

Two bands are marching in a parade.

There are 32 people in the first band.

There are 40 people in the second band.

The same number of people are marching in each row in both bands.

What is the greatest number of people that could be marching in each row?

• The greatest common factor is 2

• The greatest common factor is 10

• The greatest common factor is 4

• The greatest common factor is 8

Two numbers have a greatest common factor of 6 and a least common multiple of 36. If one of the numbers is 12, what is the other number?

• 6.... (6 and 12)

• 36... (36 and 12)

• 18... (18 and 12)

• 12... (12 and 12)