SOLUTION: there are three bells timed to ring after a certain time bell A rings after every 15 seconds bell B rings after every 18 seconds and bell C rings every 24 seconds after how many se
Algebra ->
Problems-with-consecutive-odd-even-integers
-> SOLUTION: there are three bells timed to ring after a certain time bell A rings after every 15 seconds bell B rings after every 18 seconds and bell C rings every 24 seconds after how many se
Log On
Question 1124916: there are three bells timed to ring after a certain time bell A rings after every 15 seconds bell B rings after every 18 seconds and bell C rings every 24 seconds after how many seconds will these bells ring together?
You need the least common multiple of 15, 18, and 24.
Perform the prime factorization of each of the given numbers.
For each prime number that exists in the three prime factorizations, count the number of times that prime number is represented in the prime factorization where it occurs the most often. This is the number of that prime that must be a factor of the least common multiple. Once you have determined the all of the factors for the least common multiple, multiply them together to get your answer.
John
My calculator said it, I believe it, that settles it