A boy has few toffees. He was about to eat them when one of his friend comes and asks him to share. He divides them equally into 2 parts without any toffee remaining.

Then one more boy comes so he divides into 3 equal parts without any toffee remaining.

Then one more boy comes so he divides into 4 equal parts without any toffee remaining.

Then one more boy comes so he divides into 5 equal parts without any toffee remaining.

Then one more boy comes so he divides into 6 equal parts without any toffee remaining.

Then one more boy comes so he divides into 7 equal parts but one toffee remains.

Can you tell the minimum number of toffees boy had initially?

The number must be a multiple of 2,3,4,5 & 6 and when divided by 7 it should give a reminder 1.

120 is the minimum that satisfies the criteria. There are many more such numbers like 540, 960 etc

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