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HCF and LCM Word Problems Worksheet

Quantitative aptitude lesson 2: HCF and LCM word problems · Set 530 · 40 questions
TalentJR

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).

NameDateTime takenScore ___ / 40
  1. 1.Find the smallest number bigger than 12 that leaves a remainder of 1 when divided by 6, 3 or 12.
  2. 2.Find the smallest number bigger than 15 that leaves a remainder of 3 when divided by 4, 15 or 5.
  3. 3.Three temple bells ring every 5, 10 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  4. 4.A hall floor is 300 cm long and 250 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  5. 5.A hall floor is 60 cm long and 40 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  6. 6.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 15, 3 or 9.
  7. 7.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 3, 6 or 15.
  8. 8.Two tanks hold 250 litres and 450 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  9. 9.Two tanks hold 200 litres and 350 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  10. 10.A hall floor is 150 cm long and 125 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  11. 11.Find the smallest number bigger than 9 that leaves a remainder of 1 when divided by 9, 8 or 3.
  12. 12.Find the smallest number bigger than 10 that leaves a remainder of 1 when divided by 6, 4 or 10.
  13. 13.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 4, 3 or 15.
  14. 14.A hall floor is 400 cm long and 250 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  15. 15.Two tanks hold 75 litres and 120 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  16. 16.Find the smallest number bigger than 15 that leaves a remainder of 3 when divided by 15, 4 or 9.
  17. 17.A hall floor is 280 cm long and 240 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  18. 18.Find the smallest number bigger than 12 that leaves a remainder of 4 when divided by 5, 6 or 12.
  19. 19.Three temple bells ring every 8, 20 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  20. 20.Find the smallest number bigger than 15 that leaves a remainder of 1 when divided by 15, 9 or 4.
  21. 21.Two tanks hold 280 litres and 160 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  22. 22.A hall floor is 360 cm long and 315 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  23. 23.A hall floor is 90 cm long and 60 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  24. 24.Three temple bells ring every 18, 8 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  25. 25.Three temple bells ring every 15, 9 and 10 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  26. 26.Two tanks hold 150 litres and 175 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  27. 27.Two tanks hold 20 litres and 90 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  28. 28.A hall floor is 210 cm long and 90 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
  29. 29.Find the smallest number bigger than 9 that leaves a remainder of 2 when divided by 6, 9 or 3.
  30. 30.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 15, 3 or 10.
  31. 31.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 9, 3 or 15.
  32. 32.Three temple bells ring every 15, 4 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  33. 33.Two tanks hold 45 litres and 10 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  34. 34.Two tanks hold 125 litres and 50 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
  35. 35.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 8, 12 or 3.
  36. 36.Three temple bells ring every 10, 12 and 4 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  37. 37.Find the smallest number bigger than 8 that leaves a remainder of 1 when divided by 8, 3 or 5.
  38. 38.Find the smallest number bigger than 12 that leaves a remainder of 2 when divided by 12, 5 or 3.
  39. 39.Three temple bells ring every 18, 10 and 6 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
  40. 40.Three temple bells ring every 4, 5 and 24 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?

Answer key

  1. 13
  2. 63
  3. 30
  4. 30
  5. 6
  6. 46
  7. 31
  8. 50
  9. 50
  10. 30
  11. 73
  12. 61
  13. 61
  14. 40
  15. 15
  16. 183
  17. 42
  18. 64
  19. 40
  20. 181
  21. 40
  22. 56
  23. 6
  24. 72
  25. 90
  26. 25
  27. 10
  28. 21
  29. 20
  30. 32
  31. 47
  32. 60
  33. 5
  34. 25
  35. 26
  36. 60
  37. 121
  38. 62
  39. 90
  40. 120

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