DJ maths loves music and all things mathematical. When invited to play at a party he always has to do something involving maths. Last week at a party he played a tune and told everyone on the dance floor to dance in two’s, there were no people left over. Then he said to dance in three’s there were no people left over. Then he said to dance in four’s there were no people left over. Then he said to dance in five’s there were no people left over. Finally he said to dance in sixes there were no people left over.

How many people were dancing at the party?