Five bells begin to toll together and toll at | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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 $seconds$)

Similar Questions

Find the least number which is a multiple of $31$ and when divided by $15, 24$ and $32$ leaves the remainders $2, 11$ and $19$,respectively.

The $H.C.F.$ and $L.C.M.$ of two numbers are $12$ and $924,$ respectively. Then the number of such pairs is

The product of two numbers is $6760$ and their $H.C.F.$ is $13.$ How many such pairs can be formed?

Find the greatest number which will divide $2112$ and $2792$ leaving the remainder $4$ in each case.

$A$ merchant has $435$ litres,$493$ litres,and $551$ litres of three different kinds of milk. Find the least number of casks of equal size required to store all the milk without mixing.

Vedclass Test Series

Exam Paper Generator

Online Exam Module