LCM and GCF Problem Solving

Miss Rick Felder explains the concepts of Least Common Multiple (LCM) and Greatest Common Factor (GCF) and their application in solving word problems. The video outlines a problem-solving strategy involving three key questions: what do I know, what do I need to find out, and what is my plan. Examples of LCM and GCF problems are provided, along with methods to solve them using the ladder method. The video concludes with a practice problem to reinforce the concepts learned.

What is the main challenge students face when dealing with LCM and GCF in word problems?

• Solving the problems quickly

• Memorizing the definitions

• Identifying which concept to use

• Understanding the methods of calculation

Which of the following is NOT one of the three key questions in the problem-solving strategy?

• What do I know?

• What is my plan?

• What is the answer?

• What do I need to find out?

LCM problems often involve events that:

• Occur once

• Repeat over time

• Are unpredictable

• Happen simultaneously

In the example of Ben and Isabelle, what is the LCM of their exercise schedules?

• 16 days

• 24 days

• 8 days

• 12 days

GCF problems often require you to:

• Subtract items

• Add items together

• Multiply items

• Divide items into smaller sections

In the cloth cutting example, what is the GCF of the cloth widths?

• 18 inches

• 36 inches

• 12 inches

• 24 inches

What is the smallest number of pencils and erasers you can buy to match each pencil with an eraser?

• 12

• 18

• 24

• 36