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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 545 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  2. 2.Find the LCM of 15 and 35.
  3. 3.Find the LCM of 12, 10 and 15.
  4. 4.Find the LCM of 13, 3 and 4.
  5. 5.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  6. 6.Find the LCM of 15 and 21.
  7. 7.Find the LCM of 9 and 5.
  8. 8.Find the LCM of 12, 4 and 14.
  9. 9.Find the LCM of 14, 3 and 2.
  10. 10.Find the LCM of 30 and 35.
  11. 11.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  12. 12.Find the LCM of 14 and 18.
  13. 13.Find the LCM of 21 and 15.
  14. 14.Find the LCM of 2, 10 and 5.
  15. 15.Find the HCF of 27 and 24.
  16. 16.Find the HCF of 30 and 105.
  17. 17.Find the LCM of 2, 6 and 11.
  18. 18.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  19. 19.Find the LCM of 10 and 12.
  20. 20.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  21. 21.Find the HCF of 77 and 88.
  22. 22.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  23. 23.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  24. 24.Find the LCM of 6, 2 and 3.
  25. 25.Find the LCM of 24 and 15.
  26. 26.Find the HCF of 117 and 91.
  27. 27.Find the HCF of 84 and 98.
  28. 28.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  29. 29.Find the LCM of 6, 7 and 10.
  30. 30.Find the LCM of 15 and 10.
  31. 31.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  32. 32.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  33. 33.Find the LCM of 2, 13 and 5.
  34. 34.Find the HCF of 63 and 27.
  35. 35.Find the LCM of 4 and 9.
  36. 36.Find the LCM of 25 and 10.
  37. 37.Find the HCF of 64 and 56.
  38. 38.Find the LCM of 12, 3 and 11.
  39. 39.Find the LCM of 4, 9 and 10.
  40. 40.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?

Answer key

  1. 42
  2. 105
  3. 60
  4. 156
  5. 56
  6. 105
  7. 45
  8. 84
  9. 42
  10. 210
  11. 6
  12. 126
  13. 105
  14. 10
  15. 3
  16. 15
  17. 66
  18. 40
  19. 60
  20. 72
  21. 11
  22. 28
  23. 8
  24. 6
  25. 120
  26. 13
  27. 14
  28. 45
  29. 210
  30. 30
  31. 63
  32. 21
  33. 130
  34. 9
  35. 36
  36. 50
  37. 8
  38. 132
  39. 180
  40. 81

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