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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 288 · 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 3, 5 and 8.
  2. 2.Find the LCM of 4 and 18.
  3. 3.Find the LCM of 3, 7 and 12.
  4. 4.Find the LCM of 40 and 45.
  5. 5.Find the LCM of 7 and 2.
  6. 6.Find the LCM of 2, 10 and 11.
  7. 7.Find the HCF of 32 and 36.
  8. 8.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  9. 9.Find the HCF of 27 and 21.
  10. 10.Find the LCM of 8, 7 and 6.
  11. 11.Find the HCF of 21 and 6.
  12. 12.Find the LCM of 36 and 30.
  13. 13.Find the LCM of 15 and 27.
  14. 14.Find the HCF of 72 and 40.
  15. 15.Find the LCM of 14, 11 and 7.
  16. 16.Find the LCM of 25 and 15.
  17. 17.Find the HCF of 24 and 56.
  18. 18.Find the HCF of 10 and 15.
  19. 19.Find the LCM of 14, 4 and 5.
  20. 20.Find the LCM of 42 and 54.
  21. 21.Find the LCM of 14 and 6.
  22. 22.Find the HCF of 63 and 35.
  23. 23.Find the LCM of 2, 13 and 4.
  24. 24.Find the LCM of 10, 2 and 14.
  25. 25.Find the LCM of 48 and 54.
  26. 26.Find the HCF of 64 and 56.
  27. 27.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  28. 28.Find the HCF of 120 and 75.
  29. 29.Find the LCM of 35 and 25.
  30. 30.Find the LCM of 8 and 12.
  31. 31.Find the LCM of 2, 13 and 9.
  32. 32.Find the LCM of 14, 2 and 7.
  33. 33.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  34. 34.Find the LCM of 15, 12 and 4.
  35. 35.Find the HCF of 22 and 99.
  36. 36.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  37. 37.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  38. 38.Find the HCF of 6 and 10.
  39. 39.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  40. 40.Find the HCF of 18 and 4.

Answer key

  1. 120
  2. 36
  3. 84
  4. 360
  5. 14
  6. 110
  7. 4
  8. 10
  9. 3
  10. 168
  11. 3
  12. 180
  13. 135
  14. 8
  15. 154
  16. 75
  17. 8
  18. 5
  19. 140
  20. 378
  21. 42
  22. 7
  23. 52
  24. 70
  25. 432
  26. 8
  27. 24
  28. 15
  29. 175
  30. 24
  31. 234
  32. 14
  33. 63
  34. 60
  35. 11
  36. 35
  37. 56
  38. 2
  39. 16
  40. 2

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