Understanding LCM through Prime Factorization

This video tutorial from Moomoomath and Science explains how to find the Least Common Multiple (LCM) of two sets of numbers: 4 and 9, and 3 and 9. The instructor uses prime factorization and factor trees to break down the numbers into their prime components. A chart is then used to organize the factors and apply a rule to determine the LCM by selecting the highest occurrence of each prime factor. The LCM of 4 and 9 is calculated to be 36, while the LCM of 3 and 9 is 9. The video emphasizes the method's effectiveness for two numbers and encourages viewers to subscribe for more math and science content.

What is the purpose of using prime factorization in finding the LCM?

• To organize the factors systematically

• To find the greatest common divisor

• To simplify the numbers

• To add the numbers

What are the prime factors of 4?

• 4 and 1

• 2 and 3

• 2 and 2

• 3 and 3

How do you represent the number 9 using prime factors?

• 2 times 2

• 9 times 1

• 3 times 3

• 3 times 2

What is the benefit of using a factor tree?

• It increases the number of factors

• It reduces the number of calculations

• It helps visualize the prime factors

• It simplifies addition

What is the rule for selecting prime factors when finding the LCM?

• Use the smallest number of times a factor appears

• Use the greatest number of times a factor appears

• Use each factor only once

• Use all factors twice

Why is it important to organize prime factors in a chart?

• To ensure accuracy in selecting factors

• To make the process more complex

• To make calculations faster

• To avoid using a calculator

What is the LCM of 4 and 9?

• 36

• 24

• 18

• 12

What is the prime factorization of 3?

• 2 and 3

• 1 and 3

• 3 and 3

• 3

How do you determine the LCM of 3 and 9?

• By adding the numbers

• By multiplying all factors

• By using the greatest number of times a factor appears

• By subtracting the numbers

What is the LCM of 3 and 9?

• 6

• 9

• 12

• 3