HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 478 · 40 questions

The method (LCM or HCF?): Bells, lights, runners “together again”: find the LCM of the gaps. Biggest can, rope piece or tile that fits exactly: find the HCF. Leaves the same remainder r every time: LCM + r. Number of tiles = (length ÷ tile side) × (width ÷ tile side).

1. 1.Three temple bells ring every 6, 8 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
2. 2.Rohan takes 72 seconds and Farhan takes 48 seconds to run once round a track. They start together from the start line. After how many seconds will they first be at the start line together again?
3. 3.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 3, 4 or 12.
4. 4.Three temple bells ring every 6, 18 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
5. 5.Find the smallest number bigger than 12 that leaves a remainder of 3 when divided by 12, 6 or 8.
6. 6.Farhan takes 80 seconds and Ishaan takes 30 seconds to run once round a track. They start together from the start line. After how many seconds will they first be at the start line together again?
7. 7.Find the smallest number bigger than 12 that leaves a remainder of 3 when divided by 6, 12 or 4.
8. 8.A hall floor is 175 cm long and 50 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
9. 9.Three temple bells ring every 8, 6 and 12 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
10. 10.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 15, 3 or 4.
11. 11.A hall floor is 270 cm long and 225 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
12. 12.Two tanks hold 210 litres and 180 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
13. 13.Three temple bells ring every 4, 8 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
14. 14.Three temple bells ring every 4, 6 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
15. 15.Three temple bells ring every 24, 30 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
16. 16.A hall floor is 75 cm long and 50 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
17. 17.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 9, 8 or 4.
18. 18.Find the smallest number bigger than 10 that leaves a remainder of 1 when divided by 8, 10 or 4.
19. 19.Three temple bells ring every 10, 9 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
20. 20.A hall floor is 150 cm long and 60 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
21. 21.Priya takes 90 seconds and Manav takes 60 seconds to run once round a track. They start together from the start line. After how many seconds will they first be at the start line together again?
22. 22.Kabir takes 30 seconds and Arjun takes 36 seconds to run once round a track. They start together from the start line. After how many seconds will they first be at the start line together again?
23. 23.Two tanks hold 20 litres and 70 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
24. 24.Three temple bells ring every 30, 6 and 18 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
25. 25.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 10, 4 or 12.
26. 26.Three temple bells ring every 15, 6 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
27. 27.Two tanks hold 75 litres and 175 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
28. 28.Kavya takes 30 seconds and Kabir takes 50 seconds to run once round a track. They start together from the start line. After how many seconds will they first be at the start line together again?
29. 29.A hall floor is 100 cm long and 60 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
30. 30.A hall floor is 210 cm long and 60 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
31. 31.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 9, 3 or 8.
32. 32.Two tanks hold 45 litres and 120 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
33. 33.Find the smallest number bigger than 10 that leaves a remainder of 1 when divided by 9, 3 or 10.
34. 34.Three temple bells ring every 10, 6 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
35. 35.Three temple bells ring every 8, 24 and 20 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
36. 36.Find the smallest number bigger than 10 that leaves a remainder of 1 when divided by 4, 10 or 3.
37. 37.Two tanks hold 210 litres and 270 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
38. 38.Find the smallest number bigger than 10 that leaves a remainder of 2 when divided by 5, 4 or 10.
39. 39.Three temple bells ring every 12, 4 and 20 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
40. 40.Three temple bells ring every 24, 8 and 20 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?

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