487. A customer wanted to buy all the eggs the seller had and asked how many eggs she had. She replied that she didn't remember, but she knew that if the eggs were divided into groups of $2, 3, 4, 5$ or 6, there would always be one egg left over. What is the smallest number of eggs the seller could have had?
$\triangle$ Let's temporarily set aside one egg. The number of remaining eggs is equal to the least common multiple of the numbers $2,3,4,5$ and 6, i.e., 60. We need to add one more egg to this number.

Answer: 61.