Five bells commence tolling together and toll at intervals 2,4,6,8,10 seconds respectively Find in 40 minute, how many times - Maths - Playing with Numbers

Question

Five bells commence tolling together and toll at intervals
2,4,6,8,10 seconds respectively Find in 40 minute, how many times
do they toll together?

Varun Rawat · Accepted Answer

Number of seconds after which the bell will toll together = LCM of
2,4,6,8,10

The prime factorisation of 2, 4, 6, 8 and 10 is,2 = 24 = 2×26 = 2×38=2×2×210=2×5LCM = 2×2×2×3×5 = 60So, all the 5 bells will toll together after 60 sec
Number of times they will toll together in 40 min = 40 min60 sec=40 × 60 sec 60 sec   as, 1 min = 60 sec=40

Five bells commence tolling together and toll at intervals 2,4,6,8,10 seconds respectively. Find in 40 minute, how many times do they toll together?