A radio station is having a promotion in which every 12th caller receives a free concert ticket and every 15th caller receives a limo ride. Which caller will be the first one to win both?

3 answers

3*2*2
and
3*5
to get least common multiple first one needs 5
and second one needs 2*2 = 4
3*2*2*5 = 60
3*5 *4 = 60
After the 59th caller, make sure to be next.
To do this, you find the LCM of 12 and 15.

12: 12, 24, 36, 48, 60, 72...

15: 15, 30, 45, 60, 75...

As you can see, their LCM is 60.

In conclusion, the 60th caller will receive both.
Like minds think alike :)