four persons fire bullets to hit a target at an interval of 7 8 9 and 12 seconds respectively. how many number of times they would fire the bullets together to hit a target in an hour?
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7,8,9,12
7 = 7
8 = 2x2x2
9 = 3x3
12 = 2x2x3
LCM = 7x2x2x2x3x3 = 504 seconds
after every 504 seconds they will hit target together
1 hour = 60 mins = 3600 seconds
so total number of times they hit target together in 1 hour = 3600/504 = 7
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