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Question 5

Determine the largest 3-digit number which is exactly divisible by 8, 10 and 12.


Solution

The least common multiple (LCM) of 2 or more numbers is the smallest number that they all divide evenly.

LCM:

28,10,1224,5,622,5,331,5,351,5,11,1,1

LCM of 8, 10, 12 = 2×2×2×3×5 = 120

The largest three digit number = 999
Now,

  
Therefore, the required number = 999 – 39 = 960
 

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