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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 654 · 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 2, 10 and 6.
  2. 2.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  3. 3.Find the LCM of 8 and 9.
  4. 4.Find the HCF of 72 and 40.
  5. 5.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  6. 6.Find the LCM of 14, 15 and 10.
  7. 7.Find the LCM of 11, 6 and 4.
  8. 8.Find the HCF of 35 and 25.
  9. 9.Find the LCM of 24 and 15.
  10. 10.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  11. 11.Find the LCM of 14, 7 and 15.
  12. 12.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  13. 13.Find the LCM of 6, 7 and 2.
  14. 14.Find the LCM of 12, 2 and 7.
  15. 15.Find the LCM of 15 and 18.
  16. 16.Find the LCM of 35 and 40.
  17. 17.Find the LCM of 24 and 20.
  18. 18.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  19. 19.Find the HCF of 21 and 35.
  20. 20.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  21. 21.Find the HCF of 56 and 16.
  22. 22.Find the LCM of 14, 7 and 5.
  23. 23.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  24. 24.Find the LCM of 14 and 10.
  25. 25.Find the LCM of 13, 9 and 3.
  26. 26.Find the LCM of 16 and 6.
  27. 27.Find the LCM of 8, 14 and 4.
  28. 28.Find the LCM of 3, 13 and 5.
  29. 29.Find the HCF of 60 and 108.
  30. 30.Find the LCM of 18 and 21.
  31. 31.Find the HCF of 8 and 20.
  32. 32.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  33. 33.Find the LCM of 8, 6 and 5.
  34. 34.Find the HCF of 52 and 39.
  35. 35.Find the LCM of 3 and 7.
  36. 36.Find the HCF of 36 and 24.
  37. 37.Find the LCM of 4, 2 and 3.
  38. 38.Find the LCM of 4, 8 and 2.
  39. 39.Find the HCF of 25 and 15.
  40. 40.Find the LCM of 14 and 6.

Answer key

  1. 30
  2. 48
  3. 72
  4. 8
  5. 28
  6. 210
  7. 132
  8. 5
  9. 120
  10. 24
  11. 210
  12. 40
  13. 42
  14. 84
  15. 90
  16. 280
  17. 120
  18. 24
  19. 7
  20. 28
  21. 8
  22. 70
  23. 32
  24. 70
  25. 117
  26. 48
  27. 56
  28. 195
  29. 12
  30. 126
  31. 4
  32. 18
  33. 120
  34. 13
  35. 21
  36. 12
  37. 12
  38. 8
  39. 5
  40. 42

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