Question

Four bells ring at intervals of 3 , 6 , 12 and 14 minutes respectively. They ring together at 10am. When they ring together again​

Answer 1

Answer: 1:24 p.m

Explanation:

To find the answer, we need to find the LCM of 3, 7, 12, 14.

First, list the prime factorization of each number. If you need help with prime factorization, check out this solver.

3: 3

7: 7

12: 2×2×3

14: 2×7

Now multiply all of the highlighted factors

2×2×3×7=84

So the LCM of 3, 7, 12, and 14 is 84

This means that every 84 minutes, the four bells will ring at the same time (you start the timer when they first ring)

So because 84 min = 60 min + 24 min = 1 hr 24 min, add this to 12:00 to get

  12.00

+

    1.24

--------------

  13.24

Since 13:24 is the same as 1:24 pm, this means that the four bells will ring together again at 1:24 pm