Question

six bells commence tolling together and toll at interval of 2 4 6 8 10 and 12 second respectively . after how many minutes will they toll together again

Answer 1

six bells tolling together

each bell tolls at their given interval

after how much time they toll together again

finding this means finding the lcm of all

2 = 2

4 = 2 × 2

6 = 2 × 3

8 = 2 × 2 × 2

10 = 2 × 5

12 = 2 × 2 × 3

LCM of all = 2 × 2 × 2 × 3 × 5

= 120

so after 120 seconds i.e. after 2 minutes all bells toll together