Question

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 first one to win both?

Answer 1

for this, we need to find the lowest common multiple of 12 and 15....

common multiples of 12 : 12,24,36,48,60
common multiples of 15 : 15,30,45,60
LCM = 60

the caller that will be the first to win both is the 60th caller

Answer 2

Answer: Every 60th caller would win both.

Explanation:

Since we have given that

every 12th caller receives a free concert ticket.

And

every 15th caller receives a limo ride.

We need to find the first caller who would win.

So, for this we would find L.C.M. of 12 and 15.

And we know the least common multiple of 12 and 15 is 60.

Hence , every 60 th caller would win both.