Question About LCM (Least Common Multiple) and FPB (Greatest Common Factor)

Here are some examples of story problems about LCM (Least Common Multiple) and FPB (Greatest Common Factor):

1. Question 1

Ani has a swimming schedule every 6 days, while Budi swims every 8 days. If on January 1 they swim together, on what date will they swim together again?

2. Question 2

A lamp A flashes every 12 seconds, while lamp B flashes every 18 seconds. If both lamps flash together at second 0, after how many seconds will the two lamps flash together again?

3. Question 3

Two traders sell at the market. The first trader sells every 10 days, while the second trader sells every 15 days. If they start selling together on March 1, when will they sell together again?

4. Question 4

Mr. Andi has 48 oranges and 72 apples. All the fruits will be put into several plastic bags with the same number of oranges and apples in each bag. What is the maximum number of plastic bags that Mr. Andi can use?

5. Question 5

A factory has 60 bottles of milk and 90 bottles of juice. The bottles want to be put into cardboard boxes with the same number for each type of bottle. How many bottles of milk and juice are in each box if as many boxes as possible are used?

6. Question 6

Ali has 40 blue marbles and 50 red marbles. He wants to divide the marbles into plastic bags with the same number for each color of marbles. What is the maximum number of plastic bags that can be used?

7. Question 7

Dina exercises every 4 days, while Sinta exercises every 6 days. If on Monday they exercise together, on which day will they exercise together again?

8. Question 8

A bell rings every 8 minutes, and another bell rings every 12 minutes. If both bells ring at the same time at 8:00 a.m., what time will they ring together again?

9. Question 9

Two buses depart from the same terminal. The first bus departs every 10 hours, and the second bus departs every 15 hours. If both buses depart at the same time at 6:00 a.m., what time will they depart together again?

10. Question 10

A farmer waters his plants every 5 days, while a rancher feeds his goats every 7 days. If they start these activities together on Monday, on what day will they do them together again?

11. Question 11

Two lights flash at different time intervals. Light A flashes every 9 seconds, and light B flashes every 15 seconds. If both lights flash together at second 0, how many seconds later will they flash together again?

12. Question 12

Mother has 36 donuts and 48 sponge cakes. Mother wants to divide all the cakes into boxes with the same number of donuts and sponge cakes in each box. What is the maximum number of boxes that can be used?

13. Question 13

A shop has 72 pencils and 90 erasers. All the pencils and erasers will be put into packages with the same number. How many maximum packages can be made?

14. Question 14

A teacher has 54 notebooks and 81 drawing books. All the books will be distributed to students with the same number in each group. What is the maximum number of groups that can be made?

15. Question 15

Mr. Budi has 84 kilograms of rice and 108 kilograms of sugar. He wants to divide the rice and sugar into several sacks with the same weight. What is the maximum weight of rice and sugar in each sack?

16. Question 16

Toni has 60 green marbles and 75 red marbles. All the marbles will be divided into plastic bags with the same number. How many maximum plastic bags can be used?