Finding the Least Common Multiple

The video tutorial covers the concept of Least Common Multiple (LCM) in the sixth-grade math curriculum. It begins with an introduction to LCM, followed by an explore activity involving Ned's biathlon schedule to find common multiples. The tutorial then applies LCM to real-life scenarios, such as store promotions and train schedules. Various methods to find LCM of different numbers are demonstrated, concluding with a summary of the key concepts and methods discussed.

What is the least common multiple of 6 and 8, and what does it represent in Ned's training schedule?

• 12, representing the days Ned will swim and bicycle.

• 24, representing the days Ned will swim and bicycle.

• 96, representing the days Ned will swim and bicycle.

• 48, representing the days Ned will swim and bicycle.

In a store promotion, every third customer gets a keychain and every fourth gets a magnet. Which customer will receive both?

• 6th customer

• 9th customer

• 12th customer

• 15th customer

If the LCM of two numbers is equal to their product, what can be inferred about these numbers?

• One is a multiple of the other.

• They are both even numbers.

• They are both prime numbers.

• They have no common factors other than 1.

What is the LCM of 8 and 56, and why?

• 8, because it is a factor of 56.

• 56, because it is a multiple of 8.

• 64, because it is the next multiple of 8.

• 112, because it is the product of 8 and 56.

How do you find the LCM of two numbers if one is a multiple of the other?

• The LCM is the smaller number.

• The LCM is the larger number.

• The LCM is the sum of the two numbers.

• The LCM is the product of the two numbers.

What is the LCM of 5 and 11, and why?

• 5, because it is a factor of 11.

• 11, because it is a factor of 5.

• 55, because both numbers are prime.

• 1, because they have no common factors.

Kevin waters his ivy every 3 days and his cactus every 5 days. On which day will he water both plants together for the first time?

• Day 10

• Day 20

• Day 5

• Day 15

If the LCM of two numbers is 60 and one number is 7 less than the other, what are the numbers?

• 8 and 15

• 7 and 14

• 6 and 13

• 5 and 12

How do you find the LCM of three numbers?

• List the multiples of each number and find the smallest common multiple.

• Find the greatest common factor of all three numbers.

• Multiply all three numbers together.

• Add all three numbers together.

Three trains arrive at a station every 8, 10, and 12 minutes. When will they all arrive together again?

• In 120 minutes

• In 40 minutes

• In 24 minutes

• In 60 minutes