Final answer:
To split the 2,360 tulip bulbs into an equal number of gardens without any bulbs left over, the garden club can split them into 6 gardens.
Step-by-step explanation:
To split the 2,360 tulip bulbs into an equal number of gardens without any bulbs left over, we need to find a number that is divisible by 3, 4, 5, 6, 7, 8, and 9. The smallest number that satisfies this condition is the least common multiple (LCM) of these numbers.
The LCM of 3, 4, 5, 6, 7, 8, and 9 is 2,520. Therefore, the garden club can split the tulip bulbs into 2,520/2,360 or 6 gardens without having any bulbs left over.