Six bells commerce tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. in 30 min, how many times will they toll together?
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In 30 minutes, how many times do they toll together ? The least common multiple (LCM) of 2, 4, 6, 8, 10, and 12 is 120. Thus, the bells toll together every 120 seconds (or 2 minutes), so in 30 minutes they will toll simultaneously 30/2 = 15 times.
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