← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 429 · 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 10, 9 and 6.
  2. 2.Find the LCM of 6 and 8.
  3. 3.Find the LCM of 16 and 6.
  4. 4.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  5. 5.Find the LCM of 20 and 36.
  6. 6.Find the HCF of 44 and 55.
  7. 7.Find the HCF of 27 and 18.
  8. 8.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  9. 9.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  10. 10.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  11. 11.Find the LCM of 3, 10 and 6.
  12. 12.Find the LCM of 14, 15 and 5.
  13. 13.Find the HCF of 28 and 42.
  14. 14.Find the HCF of 42 and 98.
  15. 15.Find the LCM of 13, 4 and 12.
  16. 16.Find the HCF of 12 and 20.
  17. 17.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  18. 18.Find the LCM of 12 and 27.
  19. 19.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  20. 20.Find the LCM of 7 and 8.
  21. 21.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  22. 22.Find the LCM of 18 and 14.
  23. 23.Find the LCM of 7 and 6.
  24. 24.Find the HCF of 21 and 27.
  25. 25.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  26. 26.Find the LCM of 7, 10 and 2.
  27. 27.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  28. 28.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  29. 29.Find the LCM of 36 and 32.
  30. 30.Find the HCF of 50 and 30.
  31. 31.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  32. 32.Find the LCM of 3, 2 and 5.
  33. 33.Find the HCF of 20 and 28.
  34. 34.Find the HCF of 35 and 20.
  35. 35.Find the LCM of 6, 14 and 12.
  36. 36.Find the HCF of 52 and 39.
  37. 37.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  38. 38.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  39. 39.Find the LCM of 18 and 42.
  40. 40.Find the HCF of 63 and 18.

Answer key

  1. 90
  2. 24
  3. 48
  4. 15
  5. 180
  6. 11
  7. 9
  8. 15
  9. 9
  10. 24
  11. 30
  12. 210
  13. 14
  14. 14
  15. 156
  16. 4
  17. 54
  18. 108
  19. 20
  20. 56
  21. 15
  22. 126
  23. 42
  24. 3
  25. 42
  26. 70
  27. 56
  28. 30
  29. 288
  30. 10
  31. 14
  32. 30
  33. 4
  34. 5
  35. 84
  36. 13
  37. 25
  38. 6
  39. 126
  40. 9

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