← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 90 · 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 14, 3 and 9.
  2. 2.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  3. 3.Find the LCM of 3 and 7.
  4. 4.Find the LCM of 12, 5 and 3.
  5. 5.Find the LCM of 8, 9 and 3.
  6. 6.Find the LCM of 6, 13 and 12.
  7. 7.Find the HCF of 28 and 70.
  8. 8.Find the HCF of 54 and 12.
  9. 9.Find the LCM of 9 and 2.
  10. 10.Find the LCM of 2, 8 and 9.
  11. 11.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  12. 12.Find the LCM of 5, 15 and 12.
  13. 13.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  14. 14.Find the LCM of 10 and 16.
  15. 15.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  16. 16.Find the LCM of 36 and 8.
  17. 17.Find the LCM of 7, 10 and 4.
  18. 18.Find the HCF of 105 and 45.
  19. 19.Find the LCM of 42 and 18.
  20. 20.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  21. 21.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  22. 22.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  23. 23.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  24. 24.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  25. 25.Find the HCF of 77 and 22.
  26. 26.Find the LCM of 8 and 14.
  27. 27.Find the LCM of 12, 5 and 6.
  28. 28.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  29. 29.Find the LCM of 5 and 6.
  30. 30.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  31. 31.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  32. 32.Find the HCF of 21 and 6.
  33. 33.Find the LCM of 15 and 27.
  34. 34.Find the HCF of 16 and 10.
  35. 35.Find the LCM of 20 and 32.
  36. 36.Find the HCF of 42 and 28.
  37. 37.Find the LCM of 12 and 16.
  38. 38.Find the LCM of 5 and 8.
  39. 39.Find the HCF of 15 and 20.
  40. 40.Find the HCF of 50 and 90.

Answer key

  1. 126
  2. 15
  3. 21
  4. 60
  5. 72
  6. 156
  7. 14
  8. 6
  9. 18
  10. 72
  11. 12
  12. 60
  13. 63
  14. 80
  15. 35
  16. 72
  17. 140
  18. 15
  19. 126
  20. 72
  21. 63
  22. 56
  23. 24
  24. 16
  25. 11
  26. 56
  27. 60
  28. 4
  29. 30
  30. 36
  31. 28
  32. 3
  33. 135
  34. 2
  35. 160
  36. 14
  37. 48
  38. 40
  39. 5
  40. 10

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