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!