← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 964 · 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 6, 13 and 4.
  2. 2.Find the LCM of 21 and 18.
  3. 3.Find the LCM of 6, 9 and 12.
  4. 4.Find the LCM of 9, 10 and 3.
  5. 5.Find the LCM of 15 and 10.
  6. 6.Find the HCF of 98 and 70.
  7. 7.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  8. 8.Find the LCM of 7 and 2.
  9. 9.Find the LCM of 12 and 27.
  10. 10.Find the LCM of 14, 2 and 5.
  11. 11.Find the HCF of 45 and 75.
  12. 12.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  13. 13.Find the LCM of 20 and 45.
  14. 14.Find the HCF of 12 and 27.
  15. 15.Find the HCF of 105 and 30.
  16. 16.Find the HCF of 64 and 40.
  17. 17.Find the HCF of 84 and 72.
  18. 18.Find the LCM of 21 and 9.
  19. 19.Find the HCF of 10 and 14.
  20. 20.Find the LCM of 9, 2 and 4.
  21. 21.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  22. 22.Find the HCF of 104 and 117.
  23. 23.Find the LCM of 3, 10 and 8.
  24. 24.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  25. 25.Find the HCF of 20 and 50.
  26. 26.Find the LCM of 5 and 3.
  27. 27.Find the HCF of 64 and 24.
  28. 28.Find the LCM of 8 and 14.
  29. 29.Find the HCF of 50 and 40.
  30. 30.Find the HCF of 8 and 14.
  31. 31.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  32. 32.Find the LCM of 24 and 30.
  33. 33.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  34. 34.Find the LCM of 4 and 14.
  35. 35.Find the LCM of 2 and 7.
  36. 36.Find the LCM of 18 and 4.
  37. 37.Find the HCF of 28 and 32.
  38. 38.Find the HCF of 70 and 50.
  39. 39.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  40. 40.Find the LCM of 28 and 12.

Answer key

  1. 156
  2. 126
  3. 36
  4. 90
  5. 30
  6. 14
  7. 15
  8. 14
  9. 108
  10. 70
  11. 15
  12. 6
  13. 180
  14. 3
  15. 15
  16. 8
  17. 12
  18. 63
  19. 2
  20. 36
  21. 14
  22. 13
  23. 120
  24. 9
  25. 10
  26. 15
  27. 8
  28. 56
  29. 10
  30. 2
  31. 20
  32. 120
  33. 63
  34. 28
  35. 14
  36. 36
  37. 4
  38. 10
  39. 63
  40. 84

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