HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 245 · 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.A hall floor is 350 cm long and 100 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
2. 2.Three temple bells ring every 8, 5 and 12 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
3. 3.Three temple bells ring every 20, 6 and 8 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
4. 4.Find the smallest number bigger than 5 that leaves a remainder of 2 when divided by 4, 5 or 3.
5. 5.Three temple bells ring every 5, 8 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
6. 6.A hall floor is 420 cm long and 180 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
7. 7.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 12, 10 or 9.
8. 8.Find the smallest number bigger than 10 that leaves a remainder of 3 when divided by 9, 10 or 4.
9. 9.Find the smallest number bigger than 10 that leaves a remainder of 1 when divided by 5, 3 or 10.
10. 10.Two tanks hold 180 litres and 135 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
11. 11.Find the smallest number bigger than 10 that leaves a remainder of 2 when divided by 3, 10 or 6.
12. 12.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 5, 8 or 15.
13. 13.Two tanks hold 150 litres and 125 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
14. 14.Find the smallest number bigger than 8 that leaves a remainder of 1 when divided by 3, 6 or 8.
15. 15.Find the smallest number bigger than 6 that leaves a remainder of 2 when divided by 3, 6 or 4.
16. 16.Diya takes 60 seconds and Ishaan takes 54 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?
17. 17.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 8, 6 or 9.
18. 18.Find the smallest number bigger than 10 that leaves a remainder of 3 when divided by 8, 10 or 4.
19. 19.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 15, 9 or 10.
20. 20.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 8, 12 or 4.
21. 21.Three temple bells ring every 5, 6 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
22. 22.A hall floor is 180 cm long and 135 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
23. 23.Two tanks hold 60 litres and 80 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
24. 24.Find the smallest number bigger than 10 that leaves a remainder of 2 when divided by 3, 5 or 10.
25. 25.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 8, 3 or 12.
26. 26.Three temple bells ring every 5, 6 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
27. 27.Priya takes 36 seconds and Zoya takes 90 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?
28. 28.Dev takes 40 seconds and Ananya takes 72 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 200 cm long and 120 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
30. 30.Three temple bells ring every 18, 5 and 30 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
31. 31.Two tanks hold 200 litres and 125 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
32. 32.A hall floor is 210 cm long and 150 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
33. 33.Find the smallest number bigger than 15 that leaves a remainder of 5 when divided by 12, 10 or 15.
34. 34.Sneha takes 36 seconds and Priya 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?
35. 35.Two tanks hold 75 litres and 200 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
36. 36.A hall floor is 160 cm long and 120 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
37. 37.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 3, 15 or 4.
38. 38.A hall floor is 175 cm long and 100 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
39. 39.Kavya takes 40 seconds and Sneha 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?
40. 40.Three temple bells ring every 20, 8 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?

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