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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 592 · 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 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  2. 2.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  3. 3.Find the LCM of 7, 10 and 15.
  4. 4.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 8, 2 and 10.
  6. 6.Find the LCM of 7 and 2.
  7. 7.Find the HCF of 80 and 30.
  8. 8.Find the LCM of 11, 3 and 2.
  9. 9.Find the LCM of 8, 7 and 6.
  10. 10.Find the LCM of 18 and 24.
  11. 11.Find the HCF of 28 and 12.
  12. 12.Find the HCF of 30 and 36.
  13. 13.Find the HCF of 10 and 14.
  14. 14.Find the LCM of 3, 8 and 12.
  15. 15.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  16. 16.Find the LCM of 10, 5 and 2.
  17. 17.Find the HCF of 24 and 84.
  18. 18.Find the LCM of 14, 4 and 3.
  19. 19.Find the HCF of 77 and 44.
  20. 20.Find the HCF of 63 and 28.
  21. 21.Find the LCM of 15 and 20.
  22. 22.Find the LCM of 18 and 42.
  23. 23.Find the HCF of 77 and 66.
  24. 24.Find the HCF of 135 and 30.
  25. 25.Find the LCM of 2, 6 and 9.
  26. 26.Find the HCF of 42 and 98.
  27. 27.Find the LCM of 13, 15 and 5.
  28. 28.Find the LCM of 2, 15 and 9.
  29. 29.Find the LCM of 3, 11 and 5.
  30. 30.Find the LCM of 40 and 35.
  31. 31.Find the LCM of 6 and 10.
  32. 32.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  33. 33.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  34. 34.Find the LCM of 2, 4 and 5.
  35. 35.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  36. 36.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  37. 37.Find the LCM of 8 and 12.
  38. 38.Find the LCM of 3, 4 and 13.
  39. 39.Find the LCM of 20 and 36.
  40. 40.Find the LCM of 8, 2 and 11.

Answer key

  1. 24
  2. 16
  3. 210
  4. 12
  5. 40
  6. 14
  7. 10
  8. 66
  9. 168
  10. 72
  11. 4
  12. 6
  13. 2
  14. 24
  15. 30
  16. 10
  17. 12
  18. 84
  19. 11
  20. 7
  21. 60
  22. 126
  23. 11
  24. 15
  25. 18
  26. 14
  27. 195
  28. 90
  29. 165
  30. 280
  31. 30
  32. 6
  33. 24
  34. 20
  35. 12
  36. 6
  37. 24
  38. 156
  39. 180
  40. 88

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