six bells start ringing together. if they ring at the intervals of 2,4,6,8,10and 12 seconds respectively, how many times will they ring together in 30 mintus?
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Answer: 15 times
Step-by-step explanation:
Find the Least Common Multiple of 2, 4, 6, 8, 10, 12.
LCM of 2, 4, 6, 8, 10, 12 = 120
So the bells will ring together after every 120 seconds
In 30 minutes, there are (30 * 60) = 1800 seconds
Therefore, the number of times the bells will ring in 30 minutes is = 1800 / 120
1800 / 120 = 15 times
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