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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 395 · 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 210. One of the numbers is 30. What is the other number?
  2. 2.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  3. 3.Find the HCF of 8 and 36.
  4. 4.Find the LCM of 16 and 18.
  5. 5.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  6. 6.Find the HCF of 72 and 27.
  7. 7.Find the LCM of 2 and 5.
  8. 8.Find the LCM of 11, 9 and 6.
  9. 9.Find the LCM of 9, 15 and 3.
  10. 10.Find the HCF of 20 and 90.
  11. 11.Find the LCM of 16 and 28.
  12. 12.Find the HCF of 14 and 49.
  13. 13.Find the LCM of 8 and 20.
  14. 14.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  15. 15.Find the LCM of 9, 14 and 2.
  16. 16.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  17. 17.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  18. 18.Find the LCM of 45 and 10.
  19. 19.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  20. 20.Find the HCF of 28 and 35.
  21. 21.Find the LCM of 20 and 35.
  22. 22.Find the LCM of 6, 2 and 7.
  23. 23.Find the LCM of 10, 14 and 7.
  24. 24.Find the LCM of 25 and 10.
  25. 25.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  26. 26.Find the HCF of 24 and 20.
  27. 27.Find the LCM of 5, 6 and 4.
  28. 28.Find the LCM of 3, 10 and 7.
  29. 29.Find the LCM of 3 and 2.
  30. 30.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  31. 31.Find the HCF of 44 and 99.
  32. 32.Find the LCM of 2, 8 and 13.
  33. 33.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  34. 34.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  35. 35.Find the LCM of 5 and 7.
  36. 36.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  37. 37.Find the LCM of 4, 12 and 15.
  38. 38.Find the LCM of 7, 14 and 2.
  39. 39.Find the LCM of 14, 4 and 3.
  40. 40.Find the LCM of 35 and 40.

Answer key

  1. 42
  2. 15
  3. 4
  4. 144
  5. 42
  6. 9
  7. 10
  8. 198
  9. 45
  10. 10
  11. 112
  12. 7
  13. 40
  14. 63
  15. 126
  16. 27
  17. 6
  18. 90
  19. 24
  20. 7
  21. 140
  22. 42
  23. 70
  24. 50
  25. 35
  26. 4
  27. 60
  28. 210
  29. 6
  30. 72
  31. 11
  32. 104
  33. 30
  34. 24
  35. 35
  36. 9
  37. 60
  38. 14
  39. 84
  40. 280

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