Solving LCM and GCF Word Problems

This video tutorial explains how to differentiate between least common multiples (LCM) and greatest common factors (GCF) in word problems. It provides strategies for identifying when to use each method, using key phrases and examples. The video includes practice problems and examples to reinforce understanding, concluding with a summary of key points.

What is the main focus of this video?

• How to solve geometry problems

• How to calculate percentages

• How to solve algebraic equations

• How to differentiate between LCM and GCF in word problems

Which key phrase indicates the use of LCM in a word problem?

• No leftovers

• Happening at the same time again

• Sharing equally

• Grouping things

If a problem mentions 'smallest' or 'least', which concept should you use?

• Neither LCM nor GCF

• Both LCM and GCF

• GCF

• LCM

What is the first step in solving the example with Jack and Joe?

• Listing the multiples of 5 and 3

• Adding 5 and 3

• Dividing 5 by 3

• Finding the GCF of 5 and 3

Which key phrase indicates the use of GCF in a word problem?

• Repetition

• Cycling

• Happening at the same time

• No leftovers

In the birthday party example, how many people can Peter invite?

• 3

• 9

• 27

• 18

How many pizzas will each person receive in Peter's party?

• 1

• 2

• 3

• 4

In the example with Mr. Staub, how many students are in his class?

• 84

• 28

• 56

• 14

How many packs of pretzels will each student receive in Mr. Staub's class?

• 3

• 2

• 4

• 1

How many days will it take for Matthew to do both hiking and swimming again?

• 6 days

• 24 days

• 12 days

• 8 days