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(Q)A radio station is having a promotion in which every 8th caller receives a free movie ticket and every 14th caller receives a free giant wheel ride. Which caller will be the second one to win both?
Answers & Comments
Verified answer
Answer:
60th caller will recieve both the prizes.
Explanation
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 Icm 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.