It is Maggie, Kate and Sam's sports day. They all have participated in a race. All of them run around a circular track and they complete 1 revolution in 2, 4 and 6 minutes respectively. When will they all meet at the starting point?
They all will meet at the starting point after completing their respective revolutions.
As we can see that Maggie takes 2 minutes to complete 1 revolution, Kate takes 4 minutes and Sam takes 6 minutes.
We have to find a common multiple of these numbers to know the time of their meeting at the starting point.
If we calculate the LCM (least common multiple) of 2, 4 and 6, the result obtained is 12.
Therefore, they will meet at the starting point after 12 minutes.
So, the LCM is