Question

Our bells ring at intervals of 4, 6, 8 and 14 seconds. they start ringing simultaneously at 12.00 o'clock. after what time will they again ring together?/

Answer 1

LCM of 4, 6, 8, 14 seconds is

4 = 2*2

6= 2*3

8= 2*2*2

14= 2*7

LCM =2* 2*2*3*7 = 168 seconds

As they ring simultaneously after 168 seconds and at 12.00 o'clock they rang together

so they will again ring together after 168 seconds

or 2 minutes 48 seconds of 12.00 o'clock

i.e., 12 : 02 : 48 o'clock .

Answer 2

Answer:  2 minutes 48 seconds

Step-by-step explanation:

Given: The bells  ring at intervals of 4, 6, 8 and 14 seconds.

The time in seconds they bell together = LCM(4,6,8,14)

Now,

$4=2\cdot2\\6=2\cdot3\\8=2\cdot2\cdot2\\14=7\cdot2$

Thus, $LCM(4,6,8,14)=2\cdot2\cdot2\cdot3\cdot7=168$ seconds.

Since, we know that 1 minute= 60 seconds

Then, $1\ second =\frac{1}{60}\ minute$

$\Rightarrow\ 168\ seconds=168\times\frac{1}{60}\ minute=2\ minutes\ 48\ seconds$

Therefore, after 2 minutes 48 seconds they again ring together.