#### Transcript GCF LCm Word Problems

How do you solve real world problems using the Greatest Common Factor or Least Common Multiple?

Pierce swims every fourth day and Joshua swims every third day. If they both swim on the first of the month, on what date will they both swim together again?

### In this lesson you will learn when to use the GCF and LCM to find solutions

problems.

by looking at real world

A Common Misunderstanding Misreading the problem. Misinterpreting the solution.

Core Lesson Close Read the Problem Pierce swims every fourth day and Joshua swims every third day. If they both swim on the first of the month, on what date will they both swim together again?

Core Lesson Swims every Pierce 4 days Joshua 3 days Organize Information Multiples {4, 8, 12, 16, 20…} {3, 6, 9, 12, 15…} The LCM of 4 and 3 is 12.

answer statement: The next time Pierce and Joshua swim together will be on the 12 th day of the month.

• • • Core Lesson When to look for the LCM to figure out when two or more events will happen again at the same time or on the same date to purchase or get multiple items of two or more different things in order to have enough about something that is or will be happening over and over every three days and every four days buns in packages of 12 and hot dogs in packages of 8 every 4 inches and every 10 inches

Core Lesson Close Read the Problem Nhya has 16 girls and 12 boys in his class. He helps his teacher by making groups which have the same combination of girls and boys. What is the largest number of groups that can be made without leaving anyone out?

Core Lesson Class girls 16 boys 12 Organize Information Factors { 1, 2, 4, 8, 16} { 1, 2, 3, 4, 6, 12} answer statement: The GCF of 16 and 12 is 4.

The largest amount of groups with the same combination of girls and boys would be 4.

Core Lesson When to look for the GCF • to arrange two or more things in rows or groups 16 girls and 12 boys • to divide things into smaller sections 8 inch piece of string and 24 inch piece of string • figuring out how many people can be invited or receive something 20 gumballs and 45 suckers

### In this lesson you have learned when to use the GCF and LCM to find solutions

by looking at real world problems.