GCF and LCM word problems

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?

• 84 pins

• 63 pins

• 72 pins

• 94 pins

Tags

CCSS.6.NS.B.4

CCSS.6.EE.B.5

CCSS.6.EE.B.7

CCSS.6.EE.B.6

CCSS.6.EE.C.9

Kiara baked 36 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need?

• 6 plastic containers

• 12 plastic containers

• 36 plastic containers

• 144 plastic containers

Tags

CCSS.6.NS.B.4

Boxes that are 12 inches tall being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height?

• 12 inches tall

• 18 inches tall

• 6 inches tall

• 36 inches tall

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

CCSS.6.EE.B.6

CCSS.6.EE.C.9

CCSS.6.EE.A.4

Beginning at 8:30 AM, tours of the National Capitol and the White House begin at a tour agency. Tours for the National Capitol leave every 15 minutes. Tours for the White House leave every 20 minutes. How often do the tours leave at the same time?

• Every 15 minutes

• Every 30 minutes

• Every 45 minutes

• Every 60 minutes

Tags

CCSS.6.NS.B.4

The table shows the number of students in the school choir.

The choir teacher plans to arrange the students in equal rows. Only girls or boys will be in each row. What is the greatest number of students that could be in each row?

• 6

• 12

• 8

• 4

Tags

CCSS.6.NS.B.4

At the display booth at an amusement park, every visitor gets a gift bag. Some of the bags have the items in them as shown in the table below.

How often will a bag contain all three items?

• every 12 bags

• every 24 bags

• every 18 bags

• every 144 bags

Tags

CCSS.6.NS.B.4

Each time Miranda goes to the store she plans to spend $7, and each time Savannah goes to the store she plans to spend $9.

If a few weeks from now, Miranda and Savannah are surprised to find out that they have spent the exact same total of money at the store, what is the least amount of money that both girls would have spent at the store?

• $45

• $56

• $72

• $63

Tags

CCSS.6.NS.B.4

CCSS.6.EE.B.5

CCSS.6.EE.B.7

Shara is baking cookies to put in packages for a fundraiser. Shara has made 54 chocolate chip cookies and 63 sugar cookies.

Shara wants to create identical packages of cookies to sell, and she must use all of the cookies.

What is the greatest number of identical packages that Shara can make?

• 9 packages

• 42 packages

• 378 packages

• 18 packages

Tags

CCSS.6.NS.B.4

The Ferry's wheel at an amusement park runs every 30 minutes, and the roller coaster operates every 25 minutes. if the two rides are running now, how many hours will it take for them to be running together at the same time again?

• 50 minutes

• 75 minutes

• 125 minutes

• 150 minutes

Tags

CCSS.6.NS.B.4

A high-flying event manager, Laura organizes an event every 2 days. A small-time event organizer, Kevin host an event per week. If both Laura and Kevin are organizing events today, how long will it be until the two operate on the project on the same day again?

• 8 days

• 10 days

• 14 days

• 15 days

Tags

CCSS.6.NS.B.4