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  • Six bells commence tolling together and toll at an intervals of 2,4,6,8,10 and 12 seconds respectively. After how much time will they toll together again?

Six bells commence tolling together and toll at an intervals of 2,4,6,8,10 and 12 seconds respectively. After how much time will they toll together again?

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eginarrayl extSix bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10, 12 minutes respectively.\ extFind LCM using prime factorization \ 2=2left(prime number ight)\ 4=2 imes2\ 6=2 imes3\ 8=2 imes2 imes2\ 10=2 imes5\ 12=2 imes2 imes3\ extTherefore, LCMleft(2,4,6,8,10,12 ight)=2 imes2 imes2 imes3 imes5=120\ extAfter every 120 minutes =2 hours , bell will toll togather.endarray

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Deependra Verma

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