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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 644 · 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 14, 7 and 6.
  2. 2.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  3. 3.Find the HCF of 56 and 63.
  4. 4.Find the LCM of 5, 2 and 3.
  5. 5.Find the LCM of 20 and 36.
  6. 6.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  7. 7.Find the HCF of 16 and 40.
  8. 8.Find the HCF of 56 and 126.
  9. 9.Find the HCF of 35 and 56.
  10. 10.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  11. 11.Find the HCF of 21 and 24.
  12. 12.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  13. 13.Find the HCF of 66 and 55.
  14. 14.Find the LCM of 27 and 12.
  15. 15.Find the HCF of 28 and 63.
  16. 16.Find the HCF of 50 and 60.
  17. 17.Find the LCM of 27 and 15.
  18. 18.Find the HCF of 21 and 6.
  19. 19.Find the LCM of 54 and 24.
  20. 20.Find the LCM of 14, 15 and 3.
  21. 21.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  22. 22.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  23. 23.Find the LCM of 15 and 35.
  24. 24.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  25. 25.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  26. 26.Find the LCM of 2, 9 and 14.
  27. 27.Find the LCM of 10 and 35.
  28. 28.Find the HCF of 70 and 112.
  29. 29.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  30. 30.Find the HCF of 40 and 72.
  31. 31.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  32. 32.Find the HCF of 99 and 55.
  33. 33.Find the LCM of 8, 14 and 3.
  34. 34.Find the HCF of 60 and 45.
  35. 35.Find the LCM of 30 and 12.
  36. 36.Find the LCM of 14, 15 and 7.
  37. 37.Find the LCM of 42 and 18.
  38. 38.Find the HCF of 60 and 70.
  39. 39.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  40. 40.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?

Answer key

  1. 42
  2. 12
  3. 7
  4. 30
  5. 180
  6. 42
  7. 8
  8. 14
  9. 7
  10. 63
  11. 3
  12. 27
  13. 11
  14. 108
  15. 7
  16. 10
  17. 135
  18. 3
  19. 216
  20. 210
  21. 6
  22. 10
  23. 105
  24. 64
  25. 72
  26. 126
  27. 70
  28. 14
  29. 56
  30. 8
  31. 20
  32. 11
  33. 168
  34. 15
  35. 60
  36. 210
  37. 126
  38. 10
  39. 18
  40. 48

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