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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 225 · 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 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  2. 2.Find the HCF of 72 and 56.
  3. 3.Find the LCM of 3, 11 and 7.
  4. 4.Find the LCM of 9 and 8.
  5. 5.Find the LCM of 24 and 54.
  6. 6.Find the LCM of 4 and 14.
  7. 7.Find the LCM of 30 and 36.
  8. 8.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  9. 9.Find the LCM of 4, 15 and 2.
  10. 10.Find the HCF of 65 and 52.
  11. 11.Find the LCM of 30 and 24.
  12. 12.Find the HCF of 24 and 60.
  13. 13.Find the LCM of 4, 12 and 11.
  14. 14.Find the LCM of 42 and 18.
  15. 15.Find the HCF of 45 and 120.
  16. 16.Find the LCM of 35 and 40.
  17. 17.Find the LCM of 18 and 12.
  18. 18.Find the HCF of 49 and 14.
  19. 19.Find the LCM of 54 and 12.
  20. 20.Find the LCM of 48 and 42.
  21. 21.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  22. 22.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  23. 23.Find the HCF of 18 and 14.
  24. 24.Find the HCF of 21 and 12.
  25. 25.Find the LCM of 14, 12 and 3.
  26. 26.Find the LCM of 18 and 42.
  27. 27.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  28. 28.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  29. 29.Find the HCF of 77 and 55.
  30. 30.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  31. 31.Find the HCF of 42 and 70.
  32. 32.Find the LCM of 20 and 15.
  33. 33.Find the LCM of 10 and 18.
  34. 34.Find the HCF of 14 and 10.
  35. 35.Find the LCM of 5, 11 and 10.
  36. 36.Find the LCM of 3 and 2.
  37. 37.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  38. 38.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  39. 39.Find the LCM of 54 and 48.
  40. 40.Find the LCM of 15 and 21.

Answer key

  1. 16
  2. 8
  3. 231
  4. 72
  5. 216
  6. 28
  7. 180
  8. 42
  9. 60
  10. 13
  11. 120
  12. 12
  13. 132
  14. 126
  15. 15
  16. 280
  17. 36
  18. 7
  19. 108
  20. 336
  21. 9
  22. 32
  23. 2
  24. 3
  25. 84
  26. 126
  27. 4
  28. 24
  29. 11
  30. 45
  31. 14
  32. 60
  33. 90
  34. 2
  35. 110
  36. 6
  37. 35
  38. 21
  39. 432
  40. 105

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