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HCF-LCM Word Problems and Relations MCQ Questions and Answers

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#1. Find the greatest number that divides 36 and 60 exactly.

#2. Find the smallest number divisible by 6, 8 and 12.

#3. Three bells ring after every 6, 8 and 10 minutes. After how many minutes will they ring together?

#4. Find the HCF of 72 and 120 using division method.

#5. Find the least number which when divided by 8 and 12 leaves no remainder.




#6. Two numbers have HCF = 6 and product = 180. Find their LCM.

#7. Find the HCF of 54 and 90.

#8. Find the LCM of 12, 15 and 20.

#9. Find the greatest number that divides 45 and 75 leaving no remainder.

#10. The LCM of 9 and 12 is:




#11. Find the HCF of 64 and 96.

#12. Find the least number divisible by 5, 6 and 8.

#13. Two numbers are 18 and 24. Find their HCF.

#14. Find LCM of 7, 14 and 21.

#15. Find HCF of 84 and 126.




#16. Find the smallest number divisible by 4, 6 and 9.

#17. The product of two numbers is 240 and HCF is 4. Find LCM.

#18. Find HCF of 48, 60 and 72.

#19. Find LCM of 3, 4 and 5.

#20. Find greatest number dividing 30 and 45.




#21. Find HCF of 105 and 140.

#22. Find LCM of 8 and 14.

#23. Three numbers are 6, 9 and 15. Find their LCM.

#24. Find HCF of 72, 108 and 180.

#25. Find LCM of 5, 7 and 8.




#26. Two numbers have HCF = 8 and LCM = 96. If one number is 24, find the other.

#27. Find HCF of 99 and 121.

#28. Find LCM of 6, 10 and 15.

#29. Find greatest number dividing 36 and 54.

#30. Find HCF of 45, 75 and 105.




#31. Find LCM of 12, 16 and 20.

#32. Find HCF of 32 and 48.

#33. Find LCM of 9 and 10.

#34. Find HCF of 56 and 98.

#35. Find LCM of 14 and 15.




#36. Find HCF of 120 and 180.

#37. Find LCM of 4, 5 and 9.

#38. Find HCF of 27, 36 and 45.

#39. Find LCM of 7, 8 and 9.

#40. Find HCF of 81 and 108.




#41. Find LCM of 10, 12 and 15.

#42. Find HCF of 144 and 180.

#43. Find LCM of 6, 8 and 10.

#44. Find HCF of 100 and 125.

#45. Find LCM of 9, 12 and 20.




#46. Find HCF of 63 and 84.

#47. Find LCM of 5, 6 and 12.

#48. Find HCF of 48 and 72.

#49. Find LCM of 8, 9 and 10.

#50. Find HCF of 90 and 135.




#51. The HCF of two numbers is 12 and their LCM is 180. If one number is 36, find the other.

#52. The product of two numbers is 540 and their HCF is 6. Find their LCM.

#53. Two numbers have LCM = 120 and HCF = 10. If one number is 20, find the other.

#54. Find the greatest number that divides 91 and 169 exactly.

#55. The LCM of two numbers is 180 and their HCF is 6. If one number is 30, find the other.




#56. Find the smallest number which when divided by 15, 20 and 25 leaves no remainder.

#57. The HCF of two numbers is 8 and their LCM is 96. If one number is 16, find the other.

#58. Find the LCM of 16, 24 and 36.

#59. Find the HCF of 72, 108 and 144.

#60. Two numbers are 24 and 36. Verify HCF × LCM = Product. Find LCM.




#61. Find the greatest number that divides 125 and 225 leaving remainder 0.

#62. The LCM of 12 and 18 is:

#63. The HCF of two numbers is 7 and their product is 686. Find LCM.

#64. Find the smallest number divisible by 8, 9 and 21.

#65. Two numbers have HCF 5 and LCM 300. If one number is 25, find the other.




#66. Find HCF of 96 and 144.

#67. Find LCM of 9, 15 and 20.

#68. The HCF of 144 and 216 is:

#69. Find LCM of 7, 12 and 15.

#70. Find HCF of 180 and 300.




#71. Find LCM of 16, 20 and 24.

#72. Find HCF of 210 and 315.

#73. Find LCM of 18, 24 and 30.

#74. Find HCF of 128 and 192.

#75. Find LCM of 14, 21 and 28.




#76. The HCF of 225 and 300 is:

#77. Find LCM of 8, 12 and 18.

#78. Find HCF of 198 and 330.

#79. Find LCM of 9, 16 and 25.

#80. Find HCF of 320 and 480.




#81. Find LCM of 12, 15 and 25.

#82. Find HCF of 84 and 126.

#83. Find LCM of 6, 14 and 21.

#84. Find HCF of 144 and 360.

#85. Find LCM of 5, 9 and 12.




#86. Find HCF of 210 and 462.

#87. Find LCM of 7, 11 and 13.

#88. Find HCF of 252 and 378.

#89. Find LCM of 8, 9 and 21.

#90. Find HCF of 360 and 540.




#91. Find LCM of 10, 12 and 18.

#92. Find HCF of 294 and 420.

#93. Find LCM of 16, 18 and 20.

#94. Find HCF of 168 and 252.

#95. Find LCM of 9, 10 and 16.




#96. Find HCF of 432 and 648.

#97. Find LCM of 12, 14 and 15.

#98. Find HCF of 315 and 630.

#99. Find LCM of 8, 15 and 20.

#100. Find HCF of 504 and 756.




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