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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 98 · 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 5, 6 and 9.
  2. 2.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  3. 3.Find the LCM of 10 and 35.
  4. 4.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 27 and 6.
  6. 6.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  7. 7.Find the HCF of 77 and 88.
  8. 8.Find the HCF of 15 and 6.
  9. 9.Find the HCF of 25 and 40.
  10. 10.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  11. 11.Find the HCF of 42 and 28.
  12. 12.Find the LCM of 21 and 27.
  13. 13.Find the HCF of 20 and 45.
  14. 14.Find the HCF of 52 and 117.
  15. 15.Find the HCF of 64 and 72.
  16. 16.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  17. 17.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  18. 18.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  19. 19.Find the LCM of 12 and 32.
  20. 20.Find the LCM of 7 and 5.
  21. 21.Find the LCM of 20 and 8.
  22. 22.Find the LCM of 2 and 9.
  23. 23.Find the LCM of 24 and 21.
  24. 24.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  25. 25.Find the LCM of 14, 15 and 5.
  26. 26.Find the LCM of 6 and 27.
  27. 27.Find the LCM of 6, 10 and 15.
  28. 28.Find the HCF of 50 and 30.
  29. 29.Find the LCM of 9, 13 and 3.
  30. 30.Find the LCM of 5, 10 and 15.
  31. 31.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  32. 32.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  33. 33.Find the LCM of 3, 9 and 5.
  34. 34.Find the LCM of 27 and 12.
  35. 35.Find the HCF of 36 and 27.
  36. 36.Find the LCM of 10, 3 and 12.
  37. 37.Find the LCM of 9 and 6.
  38. 38.Find the LCM of 2 and 3.
  39. 39.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  40. 40.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?

Answer key

  1. 90
  2. 35
  3. 70
  4. 8
  5. 54
  6. 48
  7. 11
  8. 3
  9. 5
  10. 30
  11. 14
  12. 189
  13. 5
  14. 13
  15. 8
  16. 72
  17. 20
  18. 81
  19. 96
  20. 35
  21. 40
  22. 18
  23. 168
  24. 56
  25. 210
  26. 54
  27. 30
  28. 10
  29. 117
  30. 30
  31. 63
  32. 30
  33. 45
  34. 108
  35. 9
  36. 60
  37. 18
  38. 6
  39. 45
  40. 36

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