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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 613 · 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 30 and 12.
  2. 2.Find the HCF of 18 and 16.
  3. 3.Find the LCM of 4, 11 and 6.
  4. 4.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  5. 5.Find the HCF of 12 and 8.
  6. 6.Find the HCF of 126 and 70.
  7. 7.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  8. 8.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  9. 9.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  10. 10.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  11. 11.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  12. 12.Find the LCM of 12, 5 and 9.
  13. 13.Find the HCF of 40 and 70.
  14. 14.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  15. 15.Find the LCM of 24 and 18.
  16. 16.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  17. 17.Find the HCF of 60 and 84.
  18. 18.Find the LCM of 13, 3 and 5.
  19. 19.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  20. 20.Find the HCF of 27 and 45.
  21. 21.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  22. 22.Find the LCM of 3, 15 and 2.
  23. 23.Find the LCM of 12 and 42.
  24. 24.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  25. 25.Find the LCM of 24 and 27.
  26. 26.Find the HCF of 112 and 126.
  27. 27.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  28. 28.Find the LCM of 18 and 10.
  29. 29.Find the HCF of 33 and 55.
  30. 30.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  31. 31.Find the LCM of 42 and 36.
  32. 32.Find the HCF of 18 and 8.
  33. 33.Find the LCM of 42 and 24.
  34. 34.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  35. 35.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  36. 36.Find the LCM of 6, 10 and 5.
  37. 37.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  38. 38.Find the LCM of 4 and 6.
  39. 39.Find the LCM of 7 and 4.
  40. 40.Find the HCF of 90 and 20.

Answer key

  1. 60
  2. 2
  3. 132
  4. 16
  5. 4
  6. 14
  7. 24
  8. 12
  9. 10
  10. 10
  11. 8
  12. 180
  13. 10
  14. 54
  15. 72
  16. 9
  17. 12
  18. 195
  19. 81
  20. 9
  21. 35
  22. 30
  23. 84
  24. 27
  25. 216
  26. 14
  27. 21
  28. 90
  29. 11
  30. 28
  31. 252
  32. 2
  33. 168
  34. 24
  35. 6
  36. 30
  37. 20
  38. 12
  39. 28
  40. 10

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