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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 516 · 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, 7 and 3.
  2. 2.Find the LCM of 8, 2 and 3.
  3. 3.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  4. 4.Find the LCM of 4, 10 and 7.
  5. 5.Find the LCM of 20 and 15.
  6. 6.Find the HCF of 8 and 28.
  7. 7.Find the LCM of 11, 2 and 8.
  8. 8.Find the LCM of 2, 14 and 11.
  9. 9.Find the LCM of 42 and 18.
  10. 10.Find the LCM of 8, 6 and 9.
  11. 11.Find the HCF of 35 and 42.
  12. 12.Find the LCM of 7 and 3.
  13. 13.Find the LCM of 4, 12 and 9.
  14. 14.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  15. 15.Find the LCM of 6, 12 and 7.
  16. 16.Find the LCM of 16 and 14.
  17. 17.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  18. 18.Find the LCM of 25 and 10.
  19. 19.Find the LCM of 8 and 3.
  20. 20.Find the LCM of 5 and 2.
  21. 21.Find the LCM of 5 and 7.
  22. 22.Find the LCM of 6, 5 and 4.
  23. 23.Find the HCF of 117 and 26.
  24. 24.Find the HCF of 75 and 45.
  25. 25.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  26. 26.Find the LCM of 15 and 21.
  27. 27.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  28. 28.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  29. 29.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  30. 30.Find the LCM of 15, 5 and 12.
  31. 31.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  32. 32.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  33. 33.Find the LCM of 15 and 25.
  34. 34.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  35. 35.Find the HCF of 35 and 28.
  36. 36.Find the LCM of 11, 9 and 2.
  37. 37.Find the LCM of 2, 9 and 13.
  38. 38.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  39. 39.Find the HCF of 22 and 99.
  40. 40.Find the LCM of 14, 2 and 9.

Answer key

  1. 42
  2. 24
  3. 12
  4. 140
  5. 60
  6. 4
  7. 88
  8. 154
  9. 126
  10. 72
  11. 7
  12. 21
  13. 36
  14. 12
  15. 84
  16. 112
  17. 6
  18. 50
  19. 24
  20. 10
  21. 35
  22. 60
  23. 13
  24. 15
  25. 21
  26. 105
  27. 25
  28. 81
  29. 28
  30. 60
  31. 8
  32. 42
  33. 75
  34. 12
  35. 7
  36. 198
  37. 234
  38. 32
  39. 11
  40. 126

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