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Question

(A) To find the time interval after which the bells will toll together again,we need to calculate the $L.C.M.$ (Least Common Multiple) of the given in

Vedclass · Accepted Answer

$3240$

Vedclass · Answer

(A) To find the time interval after which the bells will toll together again,we need to calculate the $L.C.M.$ (Least Common Multiple) of the given intervals: $36, 45, 72, 81,$ and $108$ seconds.Performing prime factorization or division method:$2$$36, 45, 72, 81, 108$$2$$18, 45, 36, 81, 54$$2$$9, 45, 18, 81, 27$$3$$9, 45, 9, 81, 27$$3$$3, 15, 3, 27, 9$$3$$1, 5, 1, 9, 3$$3$$1, 5, 1, 3, 1$$5$$1, 5, 1, 1, 1$$L.C.M. = 2 	imes 2 	imes 2 	imes 3 	imes 3 	imes 3 	imes 3 	imes 5$$L.C.M. = 8 	imes 81 	imes 5 = 40 	imes 81 = 3240$Thus,the bells will toll together again after $3240$ seconds.

Five bells begin to toll together and toll at intervals of $36, 45, 72, 81$ and $108$ seconds. After what interval of time will they keep on tolling together? (in $seconds$)

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