← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 992 · 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 35 and 45.
  2. 2.Find the LCM of 15 and 24.
  3. 3.Find the LCM of 12, 4 and 2.
  4. 4.Find the HCF of 45 and 25.
  5. 5.Find the HCF of 40 and 90.
  6. 6.Find the HCF of 135 and 30.
  7. 7.Find the HCF of 18 and 45.
  8. 8.Find the LCM of 4, 11 and 6.
  9. 9.Find the LCM of 8 and 20.
  10. 10.Find the HCF of 20 and 35.
  11. 11.Find the LCM of 4, 2 and 10.
  12. 12.Find the LCM of 6 and 5.
  13. 13.Find the HCF of 117 and 91.
  14. 14.Find the HCF of 28 and 12.
  15. 15.Find the LCM of 4, 15 and 12.
  16. 16.Find the HCF of 28 and 36.
  17. 17.Find the LCM of 5, 4 and 12.
  18. 18.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  19. 19.Find the HCF of 56 and 49.
  20. 20.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  21. 21.Find the HCF of 12 and 54.
  22. 22.Find the LCM of 15 and 12.
  23. 23.Find the HCF of 44 and 55.
  24. 24.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  25. 25.Find the LCM of 15, 7 and 2.
  26. 26.Find the LCM of 3, 2 and 5.
  27. 27.Find the HCF of 16 and 12.
  28. 28.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  29. 29.Find the LCM of 14, 6 and 12.
  30. 30.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  31. 31.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  32. 32.Find the HCF of 42 and 24.
  33. 33.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  34. 34.Find the LCM of 54 and 12.
  35. 35.Find the LCM of 2, 7 and 11.
  36. 36.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  37. 37.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  38. 38.Find the HCF of 54 and 12.
  39. 39.Find the LCM of 6 and 21.
  40. 40.Find the LCM of 8, 4 and 11.

Answer key

  1. 315
  2. 120
  3. 12
  4. 5
  5. 10
  6. 15
  7. 9
  8. 132
  9. 40
  10. 5
  11. 20
  12. 30
  13. 13
  14. 4
  15. 60
  16. 4
  17. 60
  18. 72
  19. 7
  20. 12
  21. 6
  22. 60
  23. 11
  24. 21
  25. 210
  26. 30
  27. 4
  28. 8
  29. 84
  30. 36
  31. 24
  32. 6
  33. 35
  34. 108
  35. 154
  36. 8
  37. 18
  38. 6
  39. 42
  40. 88

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude