3. 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?
Answers
Answer:
Step-by-step explanation:
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
Answer:
60th caller will recieve both the prizes.
Explanation:
Given,
every 12th caller receives a free concert
every 15th caller received a limo ride.
to find,
which first caller receive the both.
to find when the both prizes will be received by one, we have to find the lcm that is least common multiple.
Least common multiple is the least multiple of both the numbers. It is the smallest positive integer that is both divisible by both the numbers. It is also called as smallest common multiple or least common multiple.
The numbers are 12 and 15.
multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120,........
multiples of 15 = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150,..........
Common multiples of 12 and 15 = 60, 120,.....
The least common multiple of 12 and 15 is 60.
So the 60th caller will recieve both the prizes.