Exploring GCF and LCM through Word Problems

The video introduces the fictional city of AcronymVille, where everything is abbreviated. The city is run by two mayors, LCM (Least Common Multiple) and GCF (Greatest Common Factor), who often disagree on city management. The video uses a humorous narrative to explain mathematical concepts. GCF proposes a plan to manage roaming water buffaloes by using prime factors to determine the number of pens needed. LCM counters with an export strategy, using the least common multiple to package buffaloes for sale. Despite their differences, the mayors maintain a friendly relationship.

What does AV stand for in the video?

• Average

• Avenue

• AcronymVille

• AudioVisual

Tags

CCSS.RI.6.7

CCSS.RI.9-10.7

CCSS.RL.7.7

CCSS.RL.8.7

CCSS.RL.9-10.7

Who are the joint mayors of AcronymVille?

• GCF and WC

• LCM and CNS

• LCM and GCF

• P.O. and CNS

What does GCF stand for?

• Greatest Common Fraction

• Greatest Common Formula

• Greatest Common Factor

• Greatest Common Function

How many male and female Water Buffaloes were sighted in the area?

• 36 males and 48 females

• 48 males and 36 females

• 24 males and 12 females

• 12 males and 24 females

What is the Greatest Common Factor (GCF) of 48 and 36?

• 12

• 24

• 6

• 18

How many males and females are kept in each pen according to GCF's plan?

• 4 males and 3 females

• 3 males and 4 females

• 2 males and 2 females

• 6 males and 6 females

What did LCM decide to do with the Water Buffaloes?

• Release them back into the wild

• Sell them to a zoo

• Make them the city’s major export

• Keep them in the pens

Tags

CCSS.RI. 9-10.2

CCSS.RI.7.2

CCSS.RL.7.2

CCSS.RL.8.2

CCSS.RL.9-10.2

What is the Least Common Multiple (LCM) of 4 and 3?

• 12

• 15

• 6

• 9

How many sets of 4 males and 3 females can LCM take without disrupting the balance?

• 3 sets of 4 males and 4 sets of 3 females

• 1 set of 4 males and 1 set of 3 females

• 2 sets of 4 males and 2 sets of 3 females

• 4 sets of 4 males and 3 sets of 3 females

What is the relationship between LCM and GCF at the end of the video?

• They are good friends

• They are enemies

• They are strangers

• They are business partners