**Solution:**

To find out how many times the six bells toll together in 30 hours, we will first calculate the time taken by all the bells to complete a full cycle and then divide the total time by this cycle time.

**Calculating the Cycle Time:**

The cycle time of the bells is the least common multiple (LCM) of the intervals at which they toll. In this case, the intervals are 1, 2, 3, 4, 5, and 6 minutes.

To find the LCM, we can list the multiples of each interval until we find a common multiple. Alternatively, we can use the prime factorization method.

Prime factorization of the given intervals:

1 = 1
2 = 2
3 = 3
4 = 2 * 2
5 = 5
6 = 2 * 3

Now, we take the highest power of each common factor:
2^2 * 3 * 5 = 60

Therefore, the cycle time of the bells is 60 minutes.

**Calculating the Number of Times they Toll Together:**

Now, we need to convert the given time of 30 hours into minutes since the cycle time is in minutes.

1 hour = 60 minutes

Therefore, 30 hours = 30 * 60 = 1800 minutes.

Next, we divide the total time (1800 minutes) by the cycle time (60 minutes) to find the number of times the bells toll together.

1800 / 60 = 30

Therefore, the six bells will toll together 30 times in 30 hours.

**Conclusion:**

In conclusion, the six bells will toll together 30 times in 30 hours.