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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 265 · 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 12 and 9.
  2. 2.Find the LCM of 48 and 18.
  3. 3.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  4. 4.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  5. 5.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  6. 6.Find the LCM of 4 and 14.
  7. 7.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  8. 8.Find the LCM of 6, 15 and 9.
  9. 9.Find the LCM of 5, 8 and 3.
  10. 10.Find the LCM of 5, 3 and 11.
  11. 11.Find the LCM of 2, 13 and 8.
  12. 12.Find the LCM of 9 and 12.
  13. 13.Find the HCF of 56 and 16.
  14. 14.Find the LCM of 4, 11 and 2.
  15. 15.Find the LCM of 40 and 45.
  16. 16.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  17. 17.Find the LCM of 7, 5 and 14.
  18. 18.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  19. 19.Find the LCM of 3, 12 and 2.
  20. 20.Find the HCF of 70 and 40.
  21. 21.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  22. 22.Find the HCF of 20 and 32.
  23. 23.Find the LCM of 11, 8 and 2.
  24. 24.Find the LCM of 28 and 12.
  25. 25.Find the LCM of 5, 15 and 7.
  26. 26.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  27. 27.Find the LCM of 11, 3 and 7.
  28. 28.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  29. 29.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  30. 30.Find the HCF of 30 and 105.
  31. 31.Find the HCF of 21 and 49.
  32. 32.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  33. 33.Find the HCF of 63 and 36.
  34. 34.Find the LCM of 12 and 42.
  35. 35.Find the LCM of 6, 14 and 4.
  36. 36.Find the HCF of 54 and 42.
  37. 37.Find the LCM of 14 and 18.
  38. 38.Find the HCF of 30 and 80.
  39. 39.Find the HCF of 15 and 6.
  40. 40.Find the LCM of 4 and 18.

Answer key

  1. 36
  2. 144
  3. 9
  4. 12
  5. 30
  6. 28
  7. 16
  8. 90
  9. 120
  10. 165
  11. 104
  12. 36
  13. 8
  14. 44
  15. 360
  16. 40
  17. 70
  18. 10
  19. 12
  20. 10
  21. 4
  22. 4
  23. 88
  24. 84
  25. 105
  26. 9
  27. 231
  28. 15
  29. 35
  30. 15
  31. 7
  32. 10
  33. 9
  34. 84
  35. 84
  36. 6
  37. 126
  38. 10
  39. 3
  40. 36

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