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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 36 · 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 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  2. 2.Find the LCM of 5, 8 and 10.
  3. 3.Find the LCM of 5, 9 and 6.
  4. 4.Find the LCM of 2 and 5.
  5. 5.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  6. 6.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  7. 7.Find the HCF of 98 and 56.
  8. 8.Find the HCF of 14 and 12.
  9. 9.Find the HCF of 45 and 30.
  10. 10.Find the HCF of 10 and 35.
  11. 11.Find the LCM of 18 and 48.
  12. 12.Find the LCM of 9 and 6.
  13. 13.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  14. 14.Find the HCF of 18 and 81.
  15. 15.Find the HCF of 33 and 77.
  16. 16.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  17. 17.Find the HCF of 49 and 56.
  18. 18.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  19. 19.Find the LCM of 5, 4 and 2.
  20. 20.Find the HCF of 45 and 72.
  21. 21.Find the LCM of 28 and 12.
  22. 22.Find the LCM of 25 and 40.
  23. 23.Find the LCM of 6, 11 and 2.
  24. 24.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  25. 25.Find the HCF of 40 and 32.
  26. 26.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  27. 27.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  28. 28.Find the HCF of 18 and 21.
  29. 29.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  30. 30.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  31. 31.Find the LCM of 8 and 12.
  32. 32.Find the LCM of 2, 15 and 4.
  33. 33.Find the HCF of 8 and 36.
  34. 34.Find the HCF of 30 and 36.
  35. 35.Find the LCM of 8, 3 and 10.
  36. 36.Find the HCF of 52 and 117.
  37. 37.Find the LCM of 8 and 6.
  38. 38.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  39. 39.Find the LCM of 2, 15 and 12.
  40. 40.Find the LCM of 4, 3 and 8.

Answer key

  1. 35
  2. 40
  3. 90
  4. 10
  5. 14
  6. 30
  7. 14
  8. 2
  9. 15
  10. 5
  11. 144
  12. 18
  13. 6
  14. 9
  15. 11
  16. 72
  17. 7
  18. 10
  19. 20
  20. 9
  21. 84
  22. 200
  23. 66
  24. 30
  25. 8
  26. 35
  27. 14
  28. 3
  29. 45
  30. 56
  31. 24
  32. 60
  33. 4
  34. 6
  35. 120
  36. 13
  37. 24
  38. 9
  39. 60
  40. 24

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