Marbles Puzzle - Hint

#144

A naughty child had a vast number of marbles. When he was going to play with his friends, one of his friend asked him, how many marbles he has?

He replied : I can't count past 100 but I know that....
If you divide the number of marbles by 2 there will be one marble left.
If you divide the number of marbles by 3 there will be one marble left.
If you divide the number of marbles by 4 there will be one marble left.
If you divide the number of marbles by 5 there will be one marble left.
If you divide the number of marbles by 6 there will be one marble left.
If you divide the number of marbles by 7 there will be one marble left.
If you divide the number of marbles by 8 there will be one marble left.
If you divide the number of marbles by 9 there will be one marble left.
If you divide the number of marbles by 10 there will be one marble left.  
Finally. 
If you divide the number of marbles by 11 there will be NO MARBLES left!

How many marbles did the naughty child have? 

  Difficulty Level - 4/5

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  Hint : 

   You cant try to find the common multiple.