HCF and LCM Word Problems

A factory needs to produce a certain number of products. If they produce 24 products in one hour, 36 products in the next hour, and 48 products in the third hour, what is the least number of hours needed to produce the same number of products again?

• 72

• 120

• 96

• 144

A gardener wants to plant trees in rows. If he plants 12 trees in one row, 15 trees in the next row, and 18 trees in the third row, what is the least number of trees he can plant in each row so that the number of trees is the same in each row?

• 36

• 24

• 30

• 180

Three friends decide to buy gifts for their teacher. The first friend buys a gift that costs $36, the second friend buys a gift that costs $45, and the third friend buys a gift that costs $54. What is the least amount they can spend so that they each spend the same amount?

• $15

• $9

• $12

• $18

A farmer has three fields. The first field can be harvested every 12 days, the second field every 15 days, and the third field every 18 days. What is the least number of days after which the farmer can harvest all three fields on the same day?

• 200

• 220

• 180

• 160

A baker wants to make batches of cookies. If she bakes 24 cookies in one batch, 30 cookies in the next batch, and 36 cookies in the third batch, what is the least number of cookies she can bake in each batch so that the number of cookies is the same in each batch?

• 120

• 200

• 300

• 360

A teacher wants to distribute pencils to students. If she gives 12 pencils to each student, 15 pencils to the next student, and 18 pencils to the third student, what is the least number of pencils she can give to each student so that the number of pencils is the same for each student?

• 180

• 144

• 160

• 200

A car rental company has three types of cars. The first type of car can be rented for $24 per day, the second type for $30 per day, and the third type for $36 per day. What is the least amount they can charge per day so that each type of car costs the same?

• $360

• $300

• $250

• $400

A painter wants to paint walls. If he paints 12 walls in one day, 15 walls in the next day, and 18 walls in the third day, what is the least number of walls he can paint each day so that the number of walls painted is the same each day?

• 6

• 5

• 3

• 4

A group of friends wants to buy snacks. If the first friend spends $24, the second friend spends $30, and the third friend spends $36, what is the least amount they can spend so that they each spend the same amount?

• $120

• $180

• $360

• $150

A school has three classes. The first class has 12 students, the second class has 15 students, and the third class has 18 students. What is the least number of students they can have in each class so that the number of students is the same in each class?

• 45

• 30

• 180

• 25