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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 422 · 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 35 and 25.
  2. 2.Find the LCM of 16 and 36.
  3. 3.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  4. 4.Find the LCM of 9, 5 and 10.
  5. 5.Find the LCM of 9, 6 and 7.
  6. 6.Find the LCM of 28 and 12.
  7. 7.Find the HCF of 72 and 63.
  8. 8.Find the HCF of 15 and 9.
  9. 9.Find the HCF of 10 and 4.
  10. 10.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  11. 11.Find the HCF of 21 and 49.
  12. 12.Find the LCM of 11, 15 and 5.
  13. 13.Find the HCF of 6 and 9.
  14. 14.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  15. 15.Find the LCM of 14 and 16.
  16. 16.Find the HCF of 98 and 70.
  17. 17.Find the LCM of 15 and 27.
  18. 18.Find the HCF of 126 and 70.
  19. 19.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  20. 20.Find the LCM of 2, 9 and 4.
  21. 21.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  22. 22.Find the HCF of 30 and 54.
  23. 23.Find the LCM of 14, 7 and 15.
  24. 24.Find the HCF of 36 and 96.
  25. 25.Find the HCF of 36 and 60.
  26. 26.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  27. 27.Find the LCM of 4 and 14.
  28. 28.Find the LCM of 12, 3 and 7.
  29. 29.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  30. 30.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  31. 31.Find the LCM of 8 and 36.
  32. 32.Find the LCM of 12 and 8.
  33. 33.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  34. 34.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  35. 35.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  36. 36.Find the HCF of 65 and 78.
  37. 37.Find the LCM of 40 and 15.
  38. 38.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  39. 39.Find the LCM of 45 and 25.
  40. 40.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?

Answer key

  1. 175
  2. 144
  3. 28
  4. 90
  5. 126
  6. 84
  7. 9
  8. 3
  9. 2
  10. 6
  11. 7
  12. 165
  13. 3
  14. 28
  15. 112
  16. 14
  17. 135
  18. 14
  19. 63
  20. 36
  21. 9
  22. 6
  23. 210
  24. 12
  25. 12
  26. 15
  27. 28
  28. 84
  29. 20
  30. 16
  31. 72
  32. 24
  33. 18
  34. 14
  35. 14
  36. 13
  37. 120
  38. 4
  39. 225
  40. 21

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