GCF and LCM Word Problems Challenge

The video tutorial covers solving word problems using the greatest common factor (GCF) and least common multiple (LCM). It includes four examples: arranging books on shelves, purchasing batteries, arranging a band, and a reading schedule. Each example demonstrates how to identify whether to use GCF or LCM and how to solve the problem step-by-step.

What is the greatest number of shelves Abby can use to arrange her 24 novels and 16 autobiographies?

• 10

• 8

• 6

• 4

How many novels will be on each shelf if Abby uses the greatest number of shelves?

• 4

• 2

• 6

• 3

How many autobiographies will be on each shelf if Abby uses the greatest number of shelves?

• 2

• 4

• 1

• 3

In how many days will Justin need to buy both double A and triple A batteries on the same day?

• 24 days

• 20 days

• 14 days

• 10 days

What is the least common multiple (LCM) of 4 and 10?

• 40

• 30

• 20

• 10

What is the greatest number of columns that can be formed with 56 middle school and 96 high school band members?

• 6

• 7

• 8

• 9

How many middle school band members will be in each column if the greatest number of columns is used?

• 9

• 8

• 7

• 6

How many high school band members will be in each column if the greatest number of columns is used?

• 13

• 12

• 11

• 10

In how many days will Mrs. Leffler read both a Harry Potter and a Percy Jackson book on the same day?

• 40 days

• 35 days

• 30 days

• 25 days

What is the least common multiple (LCM) of 5 and 7?

• 25

• 40

• 35

• 30