Solving LCM Word Problems

The video tutorial covers solving word problems involving the least common multiple (LCM). It starts with a problem about matching the number of hot dogs and buns, explaining how to find the LCM of 8 and 12. The tutorial then calculates the number of packages needed for both items. Another example is provided with a swimming and diving practice schedule, finding the LCM of 2 and 3 to determine when both activities coincide.

What is the main problem discussed in the video?

• Finding the least number of hot dogs and buns needed.

• Determining the nutritional value of hot dogs.

• Finding the best brand of buns.

• Calculating the price of hot dogs.

If you buy two packs of hot dogs, how many hot dogs will you have?

• 8

• 32

• 24

• 16

How many buns are there in one pack?

• 8

• 12

• 16

• 24

What is the least common multiple (LCM) of 8 and 12?

• 36

• 24

• 12

• 8

How many packs of hot dogs are needed to get 24 hot dogs?

• 4

• 3

• 2

• 1

How many packs of buns are needed to get 24 buns?

• 2

• 1

• 4

• 3

What is the least common multiple (LCM) of 2 and 3?

• 2

• 3

• 4

• 6

If Henry practices swimming every 2 days and diving every 3 days, after how many days will he have both practices on the same day?

• 2 days

• 9 days

• 6 days

• 3 days

If today is November 10th, on which date will Henry have both swimming and diving practices again?

• November 14th

• November 18th

• November 12th

• November 16th

What is the purpose of finding the least common multiple in these problems?

• To calculate the nutritional value.

• To find the best brand.

• To determine the price of items.

• To find the smallest number that is a multiple of both given numbers.