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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 737 · 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 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  2. 2.Find the HCF of 6 and 8.
  3. 3.Find the LCM of 2, 14 and 6.
  4. 4.Find the LCM of 2, 10 and 12.
  5. 5.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  6. 6.Find the HCF of 18 and 10.
  7. 7.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  8. 8.Find the LCM of 20 and 45.
  9. 9.Find the LCM of 54 and 48.
  10. 10.Find the HCF of 99 and 88.
  11. 11.Find the LCM of 15, 3 and 2.
  12. 12.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  13. 13.Find the LCM of 54 and 42.
  14. 14.Find the LCM of 42 and 12.
  15. 15.Find the HCF of 6 and 4.
  16. 16.Find the HCF of 50 and 30.
  17. 17.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  18. 18.Find the HCF of 70 and 60.
  19. 19.Find the HCF of 28 and 70.
  20. 20.Find the LCM of 14 and 6.
  21. 21.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  22. 22.Find the LCM of 5, 3 and 13.
  23. 23.Find the LCM of 3, 7 and 9.
  24. 24.Find the LCM of 5, 3 and 7.
  25. 25.Find the LCM of 45 and 10.
  26. 26.Find the HCF of 21 and 12.
  27. 27.Find the LCM of 9 and 5.
  28. 28.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  29. 29.Find the LCM of 2, 12 and 3.
  30. 30.Find the LCM of 4, 3 and 5.
  31. 31.Find the HCF of 70 and 50.
  32. 32.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  33. 33.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  34. 34.Find the LCM of 14 and 18.
  35. 35.Find the LCM of 6, 14 and 4.
  36. 36.Find the LCM of 36 and 30.
  37. 37.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  38. 38.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  39. 39.Find the LCM of 4, 10 and 15.
  40. 40.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?

Answer key

  1. 21
  2. 2
  3. 42
  4. 60
  5. 42
  6. 2
  7. 28
  8. 180
  9. 432
  10. 11
  11. 30
  12. 36
  13. 378
  14. 84
  15. 2
  16. 10
  17. 42
  18. 10
  19. 14
  20. 42
  21. 15
  22. 195
  23. 63
  24. 105
  25. 90
  26. 3
  27. 45
  28. 18
  29. 12
  30. 60
  31. 10
  32. 48
  33. 54
  34. 126
  35. 84
  36. 180
  37. 4
  38. 20
  39. 60
  40. 10

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