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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 30 · 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 36 and 20.
  2. 2.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  3. 3.Find the HCF of 30 and 75.
  4. 4.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 3, 4 and 15.
  6. 6.Find the LCM of 18 and 48.
  7. 7.Find the HCF of 27 and 21.
  8. 8.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  9. 9.Find the LCM of 10 and 18.
  10. 10.Find the LCM of 5, 11 and 3.
  11. 11.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  12. 12.Find the LCM of 2, 11 and 5.
  13. 13.Find the LCM of 5, 12 and 15.
  14. 14.Find the LCM of 27 and 15.
  15. 15.Find the HCF of 33 and 77.
  16. 16.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  17. 17.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  18. 18.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  19. 19.Find the HCF of 35 and 40.
  20. 20.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  21. 21.Find the LCM of 15, 3 and 13.
  22. 22.Find the LCM of 12 and 28.
  23. 23.Find the LCM of 4, 15 and 5.
  24. 24.Find the LCM of 5, 15 and 13.
  25. 25.Find the LCM of 8 and 7.
  26. 26.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  27. 27.Find the LCM of 8, 15 and 2.
  28. 28.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  29. 29.Find the HCF of 21 and 6.
  30. 30.Find the LCM of 5, 7 and 2.
  31. 31.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  32. 32.Find the LCM of 3 and 5.
  33. 33.Find the LCM of 12 and 9.
  34. 34.Find the LCM of 14, 3 and 2.
  35. 35.Find the LCM of 4, 10 and 2.
  36. 36.Find the HCF of 55 and 88.
  37. 37.Find the LCM of 3 and 7.
  38. 38.Find the HCF of 104 and 91.
  39. 39.Find the HCF of 120 and 105.
  40. 40.Find the LCM of 6 and 16.

Answer key

  1. 180
  2. 49
  3. 15
  4. 6
  5. 60
  6. 144
  7. 3
  8. 16
  9. 90
  10. 165
  11. 10
  12. 110
  13. 60
  14. 135
  15. 11
  16. 21
  17. 63
  18. 54
  19. 5
  20. 42
  21. 195
  22. 84
  23. 60
  24. 195
  25. 56
  26. 42
  27. 120
  28. 12
  29. 3
  30. 70
  31. 8
  32. 15
  33. 36
  34. 42
  35. 20
  36. 11
  37. 21
  38. 13
  39. 15
  40. 48

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