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LCM Word Problems

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Hot dogs come in packs of 10, while hot dog buns come in packs of 12. You would like to buy enough of each (hot dogs and buns) so that when you put together the hog dogs with the buns, you have nothing left over. What is the least number of hot dog/buns you can make?

a)

36

b)

48

c)

52

d)

60

2.

Carlos has 36 tomato plants and 81 pepper plants to place in rows. Each row must have the same number of each plant and he must have no plants left over. What is the largest number of rows Carlos can make?

a)

At most, he can make 6 rows.

b)

At most, he can make 8 rows

c)

At most, he can make 9 rows.

d)

At most, he can make 12 rows.

e)

The answer is not given.

3.

Samuel is pairing up one gel-pen with one note-pad as gifts. The gel-pens come in packs of 6 and the note-pads come in packs of 4. What is the smallest number of gifts Samuel can make so that nothing is left over?

(a)  

4.

Hot dogs come in packs of 10, while hot dog buns come in packs of 12. You would like to buy enough of each (hot dogs and buns) so that when you put together the hog dogs with the buns, you have nothing left over. What is the least packs of hot dogs and buns you can buy?

a)

3 packs of hot dogs and 3 packs of buns

b)

4 packs of hot dogs and 6 packs of buns

c)

6 packs of hot dogs and 5 packs of buns

d)

8 packs of hot dogs and 10 packs of buns

5.

At the gym, Hillary swims every 6 days, runs every 4 days and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities on the same day? (hint LCM)

a)

16

b)

24

c)

48

d)

32

6.

Henry and Margo both began traveling around a circular track. Henry is riding his bike, and Margo is walking. It takes Henry 7 minutes to make it all the way around, and Margo takes 12 minutes. How much time will pass until they meet back at the starting line?

a)

Greatest Common Factor

b)

Least Common Multiple

7.

Is this question asking to find GCF or LCM?

a)

GCF

b)

LCM

8.
a)
GCF
b)
LCM
9.

Maybelline and Kimberly ended up making the same number of biscuits for a bake sale at Sheppard, even though Maybelline made them in batches of 7 biscuits and Kimberly baked them in batches of 11 biscuits. What is the smallest number of biscuits each must have baked?

a)

LCM= 70 Biscuits

b)

LCM = 77 Biscuits

c)

LCM = 112 Biscuits

d)

LCM= 24 Biscuits

10.



(a)  

11.

Is this question asking to find GCF or LCM?

a)

GCF

b)

LCM

12.

Two neon signs are turned on at the same time. Both signs blink as they are turned on. One sign blinks every 9 seconds. The other sign blinks every 15 seconds. In how many seconds will they blink together again?

a)

Greatest Common Factor

b)

Least Common Multiple

13.

Is this question asking to find GCF or LCM?

a)

GCF

b)

LCM

14.

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?

a)

$45

b)

$56

c)

$72

d)

$63

15.

Find the least common multiple (LCM) of following pair of numbers.

18 and 24

a)

36

b)

54

c)

72

d)

96

16.

What is the least common multiple of 8 and 12?

a)

24

b)

20

c)

15

d)

10

17.

Samuel is pairing up one gel-pen with one note-pad as gifts. The gel-pens come in packs of 6 and the note-pads come in packs of 4. Samuel makes the smallest number of gifts possible, so that nothing is left over. How many packs of gel-pens and note-pads will Samuel need to buy?

a)

1 pack of gel-pens and 2 packs of note-pads

b)

10 packs of each gel-pens and note-pads

c)

2 packs of gel-pens and 3 packs of note-pads

d)

6 packs of gel-pens and 4 packs of note-pads

18.

What is the least common MULTIPLE (LCM) of 8 and 24?

a)

8

b)

24

c)

48

d)

Answer not given

19.

Matthew goes hiking every 2 days and swimming every 6 days, He did both kinds of exercise today. How many days from now will he go both hiking and swimming again?

a)

GCF, 2 days

b)

LCM, 12 days

c)

GCF, 12 days

d)

LCM, 13 days

20.

The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?

a)

14 days

b)

24 days

c)

34 days

d)

44 days