Understanding Least Common Multiple (LCM)

This video tutorial explains how to find the lowest common multiple (LCM) of the numbers 8, 12, and 15 using prime factorization and a factor tree. The instructor demonstrates the process of breaking down each number into its prime factors and then creating a prime factorization chart to avoid errors. The video concludes with a step-by-step multiplication of the prime factors to find the LCM, which is 120. Viewers are encouraged to subscribe for more math and science tutorials.

What is the lowest common multiple (LCM) of a set of numbers?

• The largest number that divides all the numbers

• The smallest number that all the numbers divide into evenly

• The sum of all the numbers

• The product of all the numbers

Which method is used in the video to find the LCM?

• Subtraction

• Long division

• Prime factorization

• Addition

What are the prime factors of 8?

• 2, 2, 2

• 3, 3, 3

• 2, 3, 5

• 5, 5, 5

What are the prime factors of 12?

• 5, 5, 5

• 2, 2, 3

• 2, 3, 5

• 3, 3, 3

What are the prime factors of 15?

• 5, 5, 5

• 2, 3, 5

• 3, 5

• 2, 2, 2

Why is a prime factorization chart useful?

• It is used for division

• It eliminates errors in finding the LCM

• It helps in adding numbers

• It helps in subtracting numbers

How do you find the LCM using the prime factorization chart?

• Multiply the highest power of each prime number

• Subtract the smallest prime number

• Divide by the largest prime number

• Add all the prime numbers

What is the LCM of 8, 12, and 15 as calculated in the video?

• 60

• 90

• 120

• 150

What is the purpose of the video?

• To show how to divide numbers

• To teach subtraction

• To explain the concept of LCM using prime factorization

• To demonstrate multiplication