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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 471 · 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 25 and 15.
  2. 2.Find the LCM of 14, 4 and 12.
  3. 3.Find the HCF of 80 and 70.
  4. 4.Find the LCM of 10, 6 and 14.
  5. 5.Find the LCM of 4, 3 and 13.
  6. 6.Find the LCM of 16 and 10.
  7. 7.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  8. 8.Find the HCF of 45 and 63.
  9. 9.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  10. 10.Find the LCM of 2, 4 and 8.
  11. 11.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  12. 12.Find the LCM of 6 and 14.
  13. 13.Find the HCF of 24 and 28.
  14. 14.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  15. 15.Find the LCM of 12 and 54.
  16. 16.Find the LCM of 12 and 8.
  17. 17.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  18. 18.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  19. 19.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  20. 20.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  21. 21.Find the LCM of 40 and 25.
  22. 22.Find the HCF of 35 and 45.
  23. 23.Find the HCF of 28 and 16.
  24. 24.Find the LCM of 8 and 6.
  25. 25.Find the HCF of 45 and 40.
  26. 26.Find the HCF of 21 and 56.
  27. 27.Find the LCM of 5, 7 and 14.
  28. 28.Find the HCF of 20 and 70.
  29. 29.Find the LCM of 12, 10 and 15.
  30. 30.Find the HCF of 105 and 120.
  31. 31.Find the HCF of 35 and 49.
  32. 32.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  33. 33.Find the LCM of 15, 12 and 10.
  34. 34.Find the LCM of 3, 13 and 2.
  35. 35.Find the LCM of 10 and 12.
  36. 36.Find the HCF of 16 and 14.
  37. 37.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  38. 38.Find the HCF of 63 and 18.
  39. 39.Find the LCM of 7, 9 and 14.
  40. 40.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?

Answer key

  1. 75
  2. 84
  3. 10
  4. 210
  5. 156
  6. 80
  7. 54
  8. 9
  9. 21
  10. 8
  11. 35
  12. 42
  13. 4
  14. 54
  15. 108
  16. 24
  17. 18
  18. 21
  19. 20
  20. 18
  21. 200
  22. 5
  23. 4
  24. 24
  25. 5
  26. 7
  27. 70
  28. 10
  29. 60
  30. 15
  31. 7
  32. 10
  33. 60
  34. 78
  35. 60
  36. 2
  37. 9
  38. 9
  39. 126
  40. 30

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