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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 565 · 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 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  2. 2.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  3. 3.Find the LCM of 13, 2 and 9.
  4. 4.Find the LCM of 2 and 9.
  5. 5.Find the LCM of 24 and 30.
  6. 6.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  7. 7.Find the LCM of 9, 7 and 2.
  8. 8.Find the HCF of 77 and 44.
  9. 9.Find the HCF of 27 and 36.
  10. 10.Find the LCM of 3, 6 and 12.
  11. 11.Find the LCM of 13, 3 and 9.
  12. 12.Find the HCF of 21 and 49.
  13. 13.Find the LCM of 27 and 6.
  14. 14.Find the HCF of 36 and 60.
  15. 15.Find the LCM of 15, 14 and 5.
  16. 16.Find the LCM of 7 and 9.
  17. 17.Find the HCF of 56 and 48.
  18. 18.Find the LCM of 11, 4 and 5.
  19. 19.Find the HCF of 65 and 117.
  20. 20.Find the LCM of 24 and 9.
  21. 21.Find the HCF of 35 and 28.
  22. 22.Find the HCF of 22 and 77.
  23. 23.Find the LCM of 5, 12 and 8.
  24. 24.Find the LCM of 4, 11 and 2.
  25. 25.Find the LCM of 8 and 5.
  26. 26.Find the HCF of 45 and 63.
  27. 27.Find the LCM of 16 and 18.
  28. 28.Find the LCM of 2, 7 and 15.
  29. 29.Find the LCM of 14, 6 and 9.
  30. 30.Find the LCM of 4, 7 and 3.
  31. 31.Find the LCM of 16 and 6.
  32. 32.Find the LCM of 14, 5 and 7.
  33. 33.Find the LCM of 12 and 28.
  34. 34.Find the HCF of 36 and 20.
  35. 35.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  36. 36.Find the LCM of 40 and 25.
  37. 37.Find the LCM of 2, 15 and 7.
  38. 38.Find the LCM of 21 and 27.
  39. 39.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  40. 40.Find the HCF of 75 and 60.

Answer key

  1. 35
  2. 40
  3. 234
  4. 18
  5. 120
  6. 12
  7. 126
  8. 11
  9. 9
  10. 12
  11. 117
  12. 7
  13. 54
  14. 12
  15. 210
  16. 63
  17. 8
  18. 220
  19. 13
  20. 72
  21. 7
  22. 11
  23. 120
  24. 44
  25. 40
  26. 9
  27. 144
  28. 210
  29. 126
  30. 84
  31. 48
  32. 70
  33. 84
  34. 4
  35. 81
  36. 200
  37. 210
  38. 189
  39. 28
  40. 15

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