Twelve Drummers Drumming

Number Theory Level 2

There are 12 drummers drumming.

The Drummers Drum as follows:

1st Drummer: every second

2nd Drummer: every 2 seconds

3rd Drummer: every 3 seconds


12th Drummer: every 12 seconds

[Assume that there is a timer which starts at 00:00:00. For example, when the timer goes 00:00:02,that is the first time the 2nd drummer will drum {The 2nd time the 2nd drummer will drum is when the timer is 00:00:04}

At what time (in seconds) will all the drummers drum at the same time for the very first time?


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