Prime Factorization and LCM Concepts

This video tutorial explains how to find the least common multiple (LCM) of numbers. It begins with a definition of LCM and demonstrates finding LCM using multiples with an example of numbers 4 and 6. The video then introduces the prime factorization method to find LCM, using examples with numbers 50 and 20. Practice problems are provided for further understanding, including finding LCM for numbers 12 and 40, and 25 and 80. The video concludes with a summary and directs viewers to additional resources on mathcation.com.

What is the main topic of the video?

• Finding the greatest common divisor

• Understanding prime numbers

• Finding the least common multiple

• Solving quadratic equations

What is the least common multiple of 4 and 6?

• 8

• 14

• 12

• 10

Which method is used to find the LCM of larger numbers?

• Listing all multiples

• Prime factorization

• Using a calculator

• Guessing

What is the prime factorization of 50?

• 2 x 25

• 2 x 2 x 5

• 5 x 10

• 2 x 5 x 5

What is the LCM of 50 and 20?

• 200

• 150

• 100

• 50

What is the first step in finding the LCM of 12 and 40?

• Divide the numbers

• Factor each number into primes

• List all multiples

• Add the numbers

How many twos are used in the LCM of 12 and 40?

• Four

• Three

• Two

• One

What is the LCM of 12 and 40?

• 60

• 80

• 120

• 100

What is the prime factorization of 25?

• 3 x 5

• 2 x 5

• 5 x 10

• 5 x 5

How many twos are used in the LCM of 25 and 80?

• Four

• Five

• Three

• Two