Question

Three bells are ringing continuously at$24,30,36$ minutes respectively. At what time will they ring together again if they ring simultaneously at $9am$?

Answer 1

Step 1: Find the LCM:

We find the LCM first

The time at which they will ring together will be the LCM of $24,30,36$

$24=2\times 2\times 2\times 3$

$30=2\times 3\times 5$

$36=2\times 2\times 3\times 3$

LCM$(24,30,36)=2\times 2\times 2\times 3\times 3\times 5$

$=360$

Step 2: Find the time at which they rang:

Now they will ring together after $360$ minutes it's mean after $6$hours

Hence, After $6$ hours or at $3pm$ they will ring together.