Find the largest four digit number which is divisible by 2, 3, 4, 5 and 6.


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Answer:

9960

Step by Step Explanation:
  1. The number which is divisible by 2, 3, 4, 5 and 6 will also be divisible by LCM of 2, 3, 4, 5 and 6.
  2. LCM of 2, 3, 4, 5 and 6 = 60
  3. Largest four digit number = 9999
  4. Let us divide 9999 by 60 and find the remainder,
    Remainder after dividing 9999 by 60 is 39.
  5. Therefore, the largest number which is divisible by these numbers should be 39 less than 9999.
    Therefore, the answer is 9999 - 39 = 9960

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