← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 153 · 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.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  2. 2.Find the LCM of 4, 7 and 5.
  3. 3.Find the LCM of 15 and 20.
  4. 4.Find the LCM of 36 and 16.
  5. 5.Find the HCF of 15 and 27.
  6. 6.Find the HCF of 36 and 84.
  7. 7.Find the HCF of 14 and 35.
  8. 8.Find the LCM of 25 and 35.
  9. 9.Find the HCF of 65 and 52.
  10. 10.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  11. 11.Find the LCM of 2, 14 and 13.
  12. 12.Find the LCM of 16 and 6.
  13. 13.Find the LCM of 18 and 42.
  14. 14.Find the HCF of 42 and 48.
  15. 15.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  16. 16.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  17. 17.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  18. 18.Find the LCM of 6, 8 and 4.
  19. 19.Find the HCF of 78 and 65.
  20. 20.Find the LCM of 5, 15 and 11.
  21. 21.Find the LCM of 9, 10 and 4.
  22. 22.Find the LCM of 3 and 8.
  23. 23.Find the LCM of 8, 14 and 4.
  24. 24.Find the LCM of 6 and 8.
  25. 25.Find the LCM of 21 and 24.
  26. 26.Find the LCM of 35 and 30.
  27. 27.Find the LCM of 3 and 2.
  28. 28.Find the LCM of 24 and 20.
  29. 29.Find the LCM of 5, 6 and 14.
  30. 30.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  31. 31.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  32. 32.Find the HCF of 25 and 10.
  33. 33.Find the HCF of 14 and 12.
  34. 34.Find the LCM of 4, 6 and 5.
  35. 35.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  36. 36.Find the LCM of 2, 15 and 3.
  37. 37.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  38. 38.Find the HCF of 91 and 26.
  39. 39.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  40. 40.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?

Answer key

  1. 48
  2. 140
  3. 60
  4. 144
  5. 3
  6. 12
  7. 7
  8. 175
  9. 13
  10. 28
  11. 182
  12. 48
  13. 126
  14. 6
  15. 9
  16. 14
  17. 18
  18. 24
  19. 13
  20. 165
  21. 180
  22. 24
  23. 56
  24. 24
  25. 168
  26. 210
  27. 6
  28. 120
  29. 210
  30. 72
  31. 14
  32. 5
  33. 2
  34. 60
  35. 14
  36. 30
  37. 8
  38. 13
  39. 35
  40. 8

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