Finding the LCM: Techniques and Examples

The video tutorial by Mr. J covers how to find the least common multiple (LCM) using two strategies: listing multiples and prime factorization. The tutorial begins with an introduction to the concept of LCM and explains that it is the smallest multiple shared by two numbers. The first strategy involves listing multiples of each number and identifying the smallest common one. The second strategy uses prime factorization, which is more efficient for larger numbers. The video provides examples for both methods, demonstrating how to find the LCM of different pairs of numbers. The tutorial concludes with a summary of the methods discussed.

What does LCM stand for?

• Last Common Multiple

• Lowest Common Multiple

• Least Common Multiple

• Largest Common Multiple

Which of the following is a multiple of 9?

• 15

• 22

• 20

• 18

What is the least common multiple of 9 and 12?

• 48

• 18

• 24

• 36

Which of the following is NOT a multiple of 10?

• 20

• 30

• 45

• 50

What is the least common multiple of 10 and 25?

• 100

• 75

• 25

• 50

Why might prime factorization be preferred over listing multiples for larger numbers?

• It is the only method available

• It is faster and more efficient

• It is more accurate

• It is easier to understand

What are the prime factors of 15?

• 5 and 9

• 3 and 9

• 3 and 5

• 3 and 7

What is the least common multiple of 15 and 27?

• 135

• 90

• 45

• 180

What are the prime factors of 28?

• 2, 2, and 7

• 2 and 14

• 2, 2, and 14

• 2, 3, and 7

What is the least common multiple of 28 and 52?

• 156

• 224

• 364

• 416