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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 535 · 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.Find the LCM of 18 and 48.
  2. 2.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  3. 3.Find the LCM of 3, 15 and 13.
  4. 4.Find the LCM of 16 and 10.
  5. 5.Find the HCF of 42 and 12.
  6. 6.Find the HCF of 22 and 99.
  7. 7.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  8. 8.Find the LCM of 3, 10 and 2.
  9. 9.Find the LCM of 10 and 6.
  10. 10.Find the LCM of 35 and 20.
  11. 11.Find the LCM of 4, 8 and 15.
  12. 12.Find the LCM of 45 and 25.
  13. 13.Find the LCM of 30 and 12.
  14. 14.Find the LCM of 8 and 7.
  15. 15.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  16. 16.Find the LCM of 8 and 5.
  17. 17.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  18. 18.Find the HCF of 28 and 20.
  19. 19.Find the HCF of 90 and 75.
  20. 20.Find the LCM of 10, 7 and 2.
  21. 21.Find the LCM of 32 and 28.
  22. 22.Find the LCM of 24 and 28.
  23. 23.Find the HCF of 8 and 28.
  24. 24.Find the LCM of 14, 15 and 6.
  25. 25.Find the HCF of 18 and 24.
  26. 26.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  27. 27.Find the LCM of 6, 7 and 3.
  28. 28.Find the LCM of 6 and 27.
  29. 29.Find the HCF of 6 and 10.
  30. 30.Find the HCF of 9 and 24.
  31. 31.Find the LCM of 6, 4 and 2.
  32. 32.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  33. 33.Find the LCM of 12 and 30.
  34. 34.Find the LCM of 5, 2 and 8.
  35. 35.Find the LCM of 2, 3 and 15.
  36. 36.Find the LCM of 4, 11 and 5.
  37. 37.Find the LCM of 20 and 8.
  38. 38.Find the LCM of 7, 3 and 9.
  39. 39.Find the HCF of 105 and 30.
  40. 40.Find the LCM of 14, 2 and 9.

Answer key

  1. 144
  2. 12
  3. 195
  4. 80
  5. 6
  6. 11
  7. 8
  8. 30
  9. 30
  10. 140
  11. 120
  12. 225
  13. 60
  14. 56
  15. 8
  16. 40
  17. 63
  18. 4
  19. 15
  20. 70
  21. 224
  22. 168
  23. 4
  24. 210
  25. 6
  26. 18
  27. 42
  28. 54
  29. 2
  30. 3
  31. 12
  32. 21
  33. 60
  34. 40
  35. 30
  36. 220
  37. 40
  38. 63
  39. 15
  40. 126

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