A pro baseball team is having a promotion in which every 10th fan that enters the stadium gets a free hat and every 12th person gets a free T-shirt.

How many fans Will come into the stadium before a fan receives both a hat and a T - shirt?

Multiples of 10 = 10, 20, 30, 40, 50, 60

This means the 10th, 20th, 30th, 40th, 50th, 60th, ... fan will get a free hat.

Multiples of 12 = 12, 24, 36, 48, 60

This means the 12th, 24th, 36th, 48th, 60th, ... fan will get a free shirt.

So the 60th fan will receive both a hat and a shirt.

Meaning 60 fans will come to the stadium before a fan receives both a hat and a shirt.