← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 822 · 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 8, 5 and 2.
  2. 2.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  3. 3.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  4. 4.Find the LCM of 10, 5 and 11.
  5. 5.Find the LCM of 12, 14 and 4.
  6. 6.Find the LCM of 3, 7 and 12.
  7. 7.Find the LCM of 7 and 5.
  8. 8.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  9. 9.Find the HCF of 14 and 49.
  10. 10.Find the HCF of 96 and 60.
  11. 11.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  12. 12.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  13. 13.Find the HCF of 55 and 99.
  14. 14.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  15. 15.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  16. 16.Find the HCF of 12 and 27.
  17. 17.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  18. 18.Find the LCM of 20 and 8.
  19. 19.Find the LCM of 35 and 25.
  20. 20.Find the HCF of 16 and 14.
  21. 21.Find the LCM of 32 and 20.
  22. 22.Find the LCM of 10, 4 and 5.
  23. 23.Find the LCM of 21 and 24.
  24. 24.Find the HCF of 120 and 45.
  25. 25.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  26. 26.Find the LCM of 35 and 45.
  27. 27.Find the LCM of 16 and 20.
  28. 28.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  29. 29.Find the HCF of 18 and 10.
  30. 30.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  31. 31.Find the LCM of 6 and 10.
  32. 32.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  33. 33.Find the HCF of 105 and 30.
  34. 34.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  35. 35.Find the HCF of 15 and 10.
  36. 36.Find the HCF of 20 and 32.
  37. 37.Find the HCF of 24 and 108.
  38. 38.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  39. 39.Find the LCM of 14, 9 and 7.
  40. 40.Find the LCM of 4 and 10.

Answer key

  1. 40
  2. 10
  3. 21
  4. 110
  5. 84
  6. 84
  7. 35
  8. 12
  9. 7
  10. 12
  11. 72
  12. 56
  13. 11
  14. 56
  15. 15
  16. 3
  17. 24
  18. 40
  19. 175
  20. 2
  21. 160
  22. 20
  23. 168
  24. 15
  25. 48
  26. 315
  27. 80
  28. 63
  29. 2
  30. 6
  31. 30
  32. 81
  33. 15
  34. 15
  35. 5
  36. 4
  37. 12
  38. 4
  39. 126
  40. 20

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