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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 105 · 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 3, 12 and 13.
  2. 2.Find the HCF of 90 and 20.
  3. 3.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  4. 4.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  5. 5.Find the HCF of 20 and 70.
  6. 6.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  7. 7.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  8. 8.Find the LCM of 15 and 20.
  9. 9.Find the LCM of 11, 2 and 12.
  10. 10.Find the HCF of 8 and 20.
  11. 11.Find the LCM of 8 and 18.
  12. 12.Find the HCF of 77 and 44.
  13. 13.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  14. 14.Find the LCM of 36 and 8.
  15. 15.Find the LCM of 12, 7 and 2.
  16. 16.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  17. 17.Find the HCF of 84 and 98.
  18. 18.Find the HCF of 16 and 10.
  19. 19.Find the LCM of 7, 14 and 3.
  20. 20.Find the LCM of 2, 10 and 9.
  21. 21.Find the HCF of 56 and 98.
  22. 22.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  23. 23.Find the LCM of 14, 5 and 2.
  24. 24.Find the LCM of 21 and 18.
  25. 25.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  26. 26.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  27. 27.Find the LCM of 7, 10 and 5.
  28. 28.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  29. 29.Find the HCF of 9 and 12.
  30. 30.Find the LCM of 18 and 8.
  31. 31.Find the LCM of 16 and 14.
  32. 32.Find the LCM of 12 and 21.
  33. 33.Find the HCF of 70 and 30.
  34. 34.Find the HCF of 16 and 24.
  35. 35.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  36. 36.Find the LCM of 3 and 2.
  37. 37.Find the LCM of 2, 4 and 5.
  38. 38.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  39. 39.Find the LCM of 12, 8 and 15.
  40. 40.Find the HCF of 63 and 14.

Answer key

  1. 156
  2. 10
  3. 24
  4. 9
  5. 10
  6. 15
  7. 16
  8. 60
  9. 132
  10. 4
  11. 72
  12. 11
  13. 56
  14. 72
  15. 84
  16. 56
  17. 14
  18. 2
  19. 42
  20. 90
  21. 14
  22. 6
  23. 70
  24. 126
  25. 18
  26. 20
  27. 70
  28. 56
  29. 3
  30. 72
  31. 112
  32. 84
  33. 10
  34. 8
  35. 27
  36. 6
  37. 20
  38. 42
  39. 120
  40. 7

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