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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 739 · 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 10 and 14.
  2. 2.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  3. 3.Find the LCM of 28 and 16.
  4. 4.Find the LCM of 10, 13 and 2.
  5. 5.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  6. 6.Find the LCM of 6 and 15.
  7. 7.Find the LCM of 20 and 25.
  8. 8.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  9. 9.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  10. 10.Find the LCM of 4, 14 and 3.
  11. 11.Find the LCM of 13, 14 and 7.
  12. 12.Find the HCF of 42 and 112.
  13. 13.Find the LCM of 12, 4 and 6.
  14. 14.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  15. 15.Find the HCF of 27 and 45.
  16. 16.Find the LCM of 24 and 21.
  17. 17.Find the HCF of 27 and 12.
  18. 18.Find the LCM of 5, 15 and 13.
  19. 19.Find the HCF of 35 and 15.
  20. 20.Find the LCM of 8 and 9.
  21. 21.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  22. 22.Find the HCF of 65 and 52.
  23. 23.Find the LCM of 14, 7 and 6.
  24. 24.Find the LCM of 3 and 5.
  25. 25.Find the LCM of 14 and 6.
  26. 26.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  27. 27.Find the HCF of 20 and 12.
  28. 28.Find the HCF of 70 and 42.
  29. 29.Find the LCM of 24 and 27.
  30. 30.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  31. 31.Find the HCF of 12 and 18.
  32. 32.Find the LCM of 5, 2 and 8.
  33. 33.Find the HCF of 88 and 99.
  34. 34.Find the LCM of 30 and 42.
  35. 35.Find the LCM of 18 and 12.
  36. 36.Find the LCM of 4, 11 and 12.
  37. 37.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  38. 38.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  39. 39.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  40. 40.Find the HCF of 60 and 84.

Answer key

  1. 70
  2. 16
  3. 112
  4. 130
  5. 25
  6. 30
  7. 100
  8. 18
  9. 54
  10. 84
  11. 182
  12. 14
  13. 12
  14. 30
  15. 9
  16. 168
  17. 3
  18. 195
  19. 5
  20. 72
  21. 27
  22. 13
  23. 42
  24. 15
  25. 42
  26. 56
  27. 4
  28. 14
  29. 216
  30. 14
  31. 6
  32. 40
  33. 11
  34. 210
  35. 36
  36. 132
  37. 18
  38. 27
  39. 24
  40. 12

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