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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 269 · 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 30 and 25.
  2. 2.Find the HCF of 36 and 96.
  3. 3.Find the HCF of 12 and 20.
  4. 4.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  5. 5.Find the LCM of 18 and 48.
  6. 6.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  7. 7.Find the HCF of 35 and 15.
  8. 8.Find the LCM of 14, 5 and 3.
  9. 9.Find the LCM of 7, 2 and 12.
  10. 10.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  11. 11.Find the LCM of 12 and 32.
  12. 12.Find the HCF of 20 and 30.
  13. 13.Find the LCM of 21 and 18.
  14. 14.Find the HCF of 16 and 6.
  15. 15.Find the LCM of 6, 4 and 14.
  16. 16.Find the LCM of 16 and 36.
  17. 17.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  18. 18.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  19. 19.Find the LCM of 2 and 7.
  20. 20.Find the HCF of 22 and 77.
  21. 21.Find the LCM of 2, 9 and 11.
  22. 22.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  23. 23.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  24. 24.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  25. 25.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  26. 26.Find the HCF of 56 and 42.
  27. 27.Find the LCM of 40 and 25.
  28. 28.Find the LCM of 13, 9 and 2.
  29. 29.Find the LCM of 9, 2 and 14.
  30. 30.Find the HCF of 98 and 56.
  31. 31.Find the LCM of 5, 2 and 14.
  32. 32.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  33. 33.Find the LCM of 2, 6 and 15.
  34. 34.Find the HCF of 117 and 26.
  35. 35.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  36. 36.Find the LCM of 3, 6 and 11.
  37. 37.Find the LCM of 12, 4 and 5.
  38. 38.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  39. 39.Find the HCF of 15 and 18.
  40. 40.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?

Answer key

  1. 150
  2. 12
  3. 4
  4. 36
  5. 144
  6. 16
  7. 5
  8. 210
  9. 84
  10. 72
  11. 96
  12. 10
  13. 126
  14. 2
  15. 84
  16. 144
  17. 45
  18. 30
  19. 14
  20. 11
  21. 198
  22. 35
  23. 14
  24. 72
  25. 12
  26. 14
  27. 200
  28. 234
  29. 126
  30. 14
  31. 70
  32. 42
  33. 30
  34. 13
  35. 21
  36. 66
  37. 60
  38. 49
  39. 3
  40. 18

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