Question

Three bells start ringing together at 8:30 A.M. if
they ring after 4, 5 and 6 minutes respectively each​

Answer 1

Answer:The bells will ring together after a time interval of lcm (4,5,6) = 120 minutes.

Step-by-step explanation: You can find this by calculating the LCM (least common multiple) of all three numbers in seconds by listing the prime factors of each number:

12: 2,2,3

15: 3,5

18: 2,3,3

Then you find in which original number was each prime factor used most, and how many times it was used:

12: 2 used twice

15: 5 used once

18: 3 used twice

Then we multiply all of these together: (2*2) * (5) * (3*3) = 180 seconds

All we have to do now is convert 180 seconds to minutes (180/60) = 3 to find that the bells will all ring at the same time every 3 minutes.

Answer 2

Answer:

they'll ring together next on 10:30 A.M.

Step-by-step explanation:

LCM of 4, 5, and 6 + 8:30 A.M. = 120 minutes + 8:30A.M.

=10:30 A.M.