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Home Aptitude Problems on H.C.F and L.C.M Comments

  • Question
  • Find the lowest common multiple of 24, 36 and 40.


  • Options
  • A. 120
  • B. 240
  • C. 360
  • D. 480

  • Correct Answer
  • 360 

    Explanation
     2 | 24  -  36  - 40
     --------------------
     2 | 12  -  18  - 20
     --------------------
     2 |  6  -   9  - 10
     -------------------
     3 |  3  -   9  -  5
     -------------------
       |  1  -   3  -  5
       
    L.C.M.  = 2 x 2 x 2 x 3 x 3 x 5 = 360.   
    

  • Problems on H.C.F and L.C.M


    Search Results


    • 1. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

    • Options
    • A. 12
    • B. 16
    • C. 24
    • D. 48
    • Discuss
    • 2. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

    • Options
    • A. 3
    • B. 13
    • C. 23
    • D. 33
    • Discuss
    • 3. Find the highest common factor of 36 and 84.

    • Options
    • A. 4
    • B. 6
    • C. 12
    • D. 18
    • Discuss
    • 4. The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

    • Options
    • A. 28
    • B. 32
    • C. 40
    • D. 64
    • Discuss
    • 5. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

    • Options
    • A. 15 cm
    • B. 25 cm
    • C. 35 cm
    • D. 42 cm
    • Discuss
    • 6. The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

    • Options
    • A. 1008
    • B. 1015
    • C. 1022
    • D. 1032
    • Discuss
    • 7. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point?

    • Options
    • A. 26 minutes and 18 seconds
    • B. 42 minutes and 36 seconds
    • C. 45 minutes
    • D. 46 minutes and 12 seconds
    • Discuss
    • 8. Reduce 128352/238368 to its lowest terms

    • Options
    • A. 34
    • B. 513
    • C. 713
    • D. 913
    • Discuss
    • 9. The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

    • Options
    • A. 1677
    • B. 1683
    • C. 2523
    • D. 3363
    • Discuss
    • 10. Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

    • Options
    • A. 40
    • B. 80
    • C. 120
    • D. 200
    • Discuss


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