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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 69 · 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 32 and 12.
  2. 2.Find the LCM of 3, 9 and 2.
  3. 3.Find the HCF of 14 and 18.
  4. 4.Find the HCF of 117 and 91.
  5. 5.Find the HCF of 72 and 84.
  6. 6.Find the HCF of 10 and 12.
  7. 7.Find the HCF of 24 and 16.
  8. 8.Find the LCM of 21 and 18.
  9. 9.Find the LCM of 3, 15 and 7.
  10. 10.Find the LCM of 18 and 8.
  11. 11.Find the LCM of 15, 7 and 10.
  12. 12.Find the LCM of 9 and 12.
  13. 13.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  14. 14.Find the LCM of 24 and 9.
  15. 15.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  16. 16.Find the LCM of 18 and 15.
  17. 17.Find the HCF of 44 and 99.
  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 10, 6 and 2.
  20. 20.Find the LCM of 40 and 15.
  21. 21.Find the LCM of 21 and 15.
  22. 22.Find the LCM of 35 and 25.
  23. 23.Find the LCM of 11, 3 and 6.
  24. 24.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  25. 25.Find the HCF of 104 and 65.
  26. 26.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  27. 27.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  28. 28.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  29. 29.Find the LCM of 2 and 3.
  30. 30.Find the LCM of 8 and 5.
  31. 31.Find the LCM of 42 and 54.
  32. 32.Find the LCM of 3, 11 and 4.
  33. 33.Find the HCF of 10 and 18.
  34. 34.Find the LCM of 14 and 6.
  35. 35.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  36. 36.Find the LCM of 24 and 15.
  37. 37.Find the HCF of 15 and 35.
  38. 38.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  39. 39.Find the LCM of 15 and 12.
  40. 40.Find the HCF of 88 and 77.

Answer key

  1. 96
  2. 18
  3. 2
  4. 13
  5. 12
  6. 2
  7. 8
  8. 126
  9. 105
  10. 72
  11. 210
  12. 36
  13. 27
  14. 72
  15. 63
  16. 90
  17. 11
  18. 10
  19. 30
  20. 120
  21. 105
  22. 175
  23. 66
  24. 14
  25. 13
  26. 30
  27. 20
  28. 12
  29. 6
  30. 40
  31. 378
  32. 132
  33. 2
  34. 42
  35. 42
  36. 120
  37. 5
  38. 32
  39. 60
  40. 11

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