Understanding Least Common Multiple

This video tutorial explains how to find the least common multiple (LCM) of numbers using prime factorization. It begins with an introduction to the concept of LCM, followed by a demonstration of creating a factor tree for prime factorization. The tutorial then shows how to organize the factors into a chart to minimize errors. Finally, it walks through the steps to calculate the LCM by multiplying the necessary factors and concludes with a recap of the process.

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

• The product of all the numbers

• The sum of all the numbers

• The smallest number that all the numbers divide into evenly

• The largest number that divides all the numbers

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

• Long division

• Prime factorization

• Addition

• Subtraction

What is the prime factorization of the number 4?

• 5 x 1

• 2 x 2

• 3 x 3

• 2 x 3

How many prime numbers are used in the factorization of 12?

• One

• Three

• Two

• Four

Which number is already a prime number among 4, 12, and 5?

• None

• 5

• 12

• 4

What is the rule for selecting numbers from the prime factorization chart to find the LCM?

• Use the largest number in each column

• Use only one of each number in any column

• Use the smallest number in each column

• Use all numbers

What is the LCM of 4, 12, and 5 as calculated in the video?

• 60

• 120

• 30

• 20

What is the result of multiplying 2 x 2 x 3?

• 24

• 12

• 8

• 6

What is the final step in calculating the LCM in the video?

• Adding all the numbers

• Dividing the largest number by the smallest

• Multiplying the selected prime factors

• Subtracting the smallest number from the largest