Is it LCM vs GCF? (1)

Two buses leave the station at 6:00am. Bus A has a long route and leaves the station every 75 minutes.

Bus B has a short route and leaves the station every 15 minutes.

What is the next time Bus A and Bus B will leave the bus station at the same time?

• Least Common Multiple/LCM like the hot dog problem

• Greatest Common Factor/GCF like the valentine problems

• Neither

Adali has two electric train sets: A and B. Each train is on its own circular track. She starts both trains at the same time. Train A returns to its starting point every 12 seconds. Train B returns to its starting point every 9 seconds. If the trains continue traveling, what is the least amount of time, in seconds, that both trains will arrive at the starting points at the same time?

• Least Common Multiple/LCM like the hot dog problem

• Greatest Common Factor/GCF like the valentine problem

• Neither

Jerennys and her crew have 90 Jolly Ranchers and 36 Hershey Kisses. They want to create goodie bags to give to essential workers in the neighborhood to thank them for their sacrifice during the pandemic.

They want to create as many goodie bags that are exactly the same without having anything leftover. How many goodie bags can they make?

• Least Common Multiple/LCM like the hot dog problem

• Greatest Common Factor/GCF like the valentine problem

• Neither

On Saturday, a minor league baseball team gave away baseball cards to each person entering the stadium. One group received 28 baseball cards. A second group received 68 baseball cards. If each person entering the stadium received the same number of cards, what was the greatest possible number of baseball cards that each person could have received?

• Least Common Multiple/LCM like the hot dog problem

• Greatest Common Factor/GCF like the valentine problem

• Neither

Hailey received $20 from her cousin and $75 from her grandma for her birthday. How much money did she receive in total for her birthday?

• Least Common Multiple/LCM like the hot dog problem

• Greatest Common Factor/GCF like the valentine problem

• Neither

Sam and Carlos are bowling with plastic pins in Sam's living room. Remarkably, Sam knocks down 8 pins on every bowl, and Carlos knocks down 9 pins on every bowl. At the end of the day, Sam and Carlos have knocked down the same total number of pins.

What is the least number of total pins that Sam and Carlos could have each knocked down?

• Least Common Multiple/LCM like the hot dog problem

• Greatest Common Factor/GCF like the valentine problem

• Neither

Rafaela is a physical education teacher and has 25 girls and 35 boys in her class. She wants to divide the class into teams of the same size, where each team has the same number of girls and the same number of boys.

If Rafaela creates the greatest number of teams possible, how many kids will be on each team?

• Least Common Multiple/LCM like the hot dog problem

• Greatest Common Factor/GCF like the valentine problem

• Neither

210 oranges, 252 apples and 294 pears are equally packed in cartons so that no fruit is left. What is the biggest possible number of cartons needed?

• Least Common Multiple/LCM like the hot dog problem

• Greatest Common Factor/GCF like the valentine problem

• Neither

Wesley goes to the park every 6^th day. Andy goes to the same park every 7^th day. How many times will they meet in the park in the month of December and January if we start counting from December 1st?

• Least Common Multiple/LCM like the hot dog problem

• Greatest Common Factor/GCF like the valentine problem

• Neither

I want to plant 45 sunflower plants, 81 corn plants and 63 tomato plants in my garden. If I put the same number of plants in each row and each row has only one type of plant, what is the greatest number of plants I can put in one row?

• Least Common Multiple/LCM like the hot dog problem

• Greatest Common Factor/GCF like the valentine problem

• Neither