Four bells toll at intervals of8,9,12 and 15 minutes respectively if they toll together at 3 p.m when will they toll together next
What is the least common multiple of 8, 9, 12, and 15?
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Four bells
To find out when the four bells will toll together next, we need to determine the time at which their intervals align. We can do this by finding the least common multiple (LCM) of the four intervals.
First, let's list the intervals of the four bells:
- Bell 1 tolls every 8 minutes
- Bell 2 tolls every 9 minutes
- Bell 3 tolls every 12 minutes
- Bell 4 tolls every 15 minutes
Next, let's find the LCM of these intervals:
The LCM of 8, 9, 12, and 15 is 360 minutes. This means that the four bells will toll together every 360 minutes.
Given that the four bells tolled together at 3 p.m, we need to determine how many minutes it will take for them to toll together again.
There are 60 minutes in 1 hour, so 360 minutes is equal to 360/60 = 6 hours.
Therefore, the four bells will toll together again 6 hours after 3 p.m., which is at 9 p.m.