Magical Number of Mangoes

Once a man collected few mangoes from a tree. Another man came & all mangoes are distributed among themselves but still 1 left. Third man came & mangoes redistributed but still 1 left. Fourth man came but still 1 left after redistribution. Fifth & sixth man came but still 1 left after re sharing. Finally, when 7th man came all mangoes distributed with no left.

How many mangoes they had?

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Finding The Magical Number

What was the teaser? 

We need to first find LCM of 2,3,4,5 & 6. It's 60. Had there been only 6 men then 61 would have been right answer. But on arrival of 7th man all mangoes distributed. So we need to find such number which is divisible by 7 & that number - 1 is divisible by 60.

Smallest such a number is 301. So they had 301 mangoes!