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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 521 · 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 HCF of 42 and 56.
  2. 2.Find the LCM of 16 and 20.
  3. 3.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  4. 4.Find the LCM of 35 and 45.
  5. 5.Find the LCM of 10 and 12.
  6. 6.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  7. 7.Find the HCF of 10 and 35.
  8. 8.Find the LCM of 18 and 15.
  9. 9.Find the LCM of 30 and 18.
  10. 10.Find the LCM of 6, 4 and 3.
  11. 11.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  12. 12.Find the HCF of 45 and 75.
  13. 13.Find the LCM of 6 and 4.
  14. 14.Find the LCM of 15 and 21.
  15. 15.Find the LCM of 18 and 8.
  16. 16.Find the HCF of 91 and 26.
  17. 17.Find the LCM of 15 and 27.
  18. 18.Find the HCF of 14 and 6.
  19. 19.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  20. 20.Find the LCM of 8 and 18.
  21. 21.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  22. 22.Find the HCF of 96 and 108.
  23. 23.Find the LCM of 12, 3 and 2.
  24. 24.Find the LCM of 5, 7 and 10.
  25. 25.Find the LCM of 2, 5 and 9.
  26. 26.Find the LCM of 16 and 28.
  27. 27.Find the HCF of 55 and 44.
  28. 28.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  29. 29.Find the LCM of 21 and 12.
  30. 30.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  31. 31.Find the LCM of 30 and 42.
  32. 32.Find the LCM of 12, 13 and 2.
  33. 33.Find the LCM of 2, 9 and 4.
  34. 34.Find the LCM of 2, 7 and 9.
  35. 35.Find the LCM of 16 and 12.
  36. 36.Find the LCM of 6, 7 and 4.
  37. 37.Find the LCM of 5, 15 and 13.
  38. 38.Find the HCF of 98 and 84.
  39. 39.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  40. 40.Find the LCM of 30 and 12.

Answer key

  1. 14
  2. 80
  3. 24
  4. 315
  5. 60
  6. 14
  7. 5
  8. 90
  9. 90
  10. 12
  11. 45
  12. 15
  13. 12
  14. 105
  15. 72
  16. 13
  17. 135
  18. 2
  19. 24
  20. 72
  21. 49
  22. 12
  23. 12
  24. 70
  25. 90
  26. 112
  27. 11
  28. 10
  29. 84
  30. 35
  31. 210
  32. 156
  33. 36
  34. 126
  35. 48
  36. 84
  37. 195
  38. 14
  39. 8
  40. 60

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