Exploring Venn Diagrams for LCM and GCF

The video tutorial explains the concepts of Least Common Multiple (LCM) and Greatest Common Factor (GCF) using Venn diagrams. It demonstrates how to find the LCM and GCF of two numbers, specifically using examples with the numbers 12 and 18, and then 15 and 20. The tutorial covers methods like the birthday cake method and factor trees to determine prime factors, and illustrates how to use these factors in Venn diagrams to find the LCM and GCF. The video aims to provide a clear understanding of these mathematical concepts through practical examples.

What does LCM stand for?

• Largest Common Measure

• Least Common Measure

• Largest Common Multiple

• Least Common Multiple

Which method can be used to find the prime factors of a number?

• Birthday cake method

• Subtraction method

• Multiplication method

• Addition method

What are the prime factors of 12?

• 3, 3, 3

• 2, 3, 3

• 2, 2, 3

• 2, 2, 2

What is the intersection in a Venn diagram used for?

• To show all factors

• To show prime factors

• To show unique factors

• To show common factors

What is the GCF of 12 and 18?

• 6

• 12

• 3

• 18

How do you calculate the LCM using a Venn diagram?

• Multiply the highest power of all prime factors

• Subtract the common factors

• Add all the prime factors

• Divide the common factors

What are the prime factors of 15?

• 3, 5

• 2, 3

• 2, 5

• 3, 3

What is the GCF of 15 and 20?

• 5

• 10

• 15

• 20

What is the LCM of 15 and 20?

• 45

• 60

• 30

• 75

What is the final step in finding the LCM using a Venn diagram?

• Multiply the highest power of each prime factor

• Add the common factors

• Subtract the unique factors

• Divide the common factors