Three pigs entered a race around a track. Piggly takes 6 minutes to run one lap. Piglet takes 3 minutes to run one lap and it takes Wiggly 5 minutes to run one lap. If all three pigs begin the race at the same time, how many minutes will it take for all three pigs to be at the starting point again?
Answers
Concept
Least common multiple (LCM) is a method to find the least common multiple between any two or more numbers. A common multiple is a number that is a multiple of two or more numbers.
The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers. It can also be calculated for two or more numbers. There are various methods to find the LCM of a given set of numbers. One of the fastest ways to find the LCM of two numbers is to use the prime factorization of each number and then the product of the highest powers of the common primes will be the LCM of those numbers.
Given
It is given that three pigs entered a race around a track. Piggly takes 6 minutes to run one lap. Piglet takes 3 minutes to run one lap and it takes Wiggly 5 minutes to run one lap.
Find
If all three pigs begin the race at the same time,
We need to find that in how many minutes will it take for all three pigs to be at the starting point again
Solution
Time taken by Piggly to complete one lap = 6 minutes
Time taken by Piglet to complete one lap=3 minutes
Time taken by Wiggly to complete one lap=5 minutes
If all three pigs begin the race at the same time,then time taken by all three pigs to be at the starting point again is
LCM of 6,3,5
Prime factorisation of 6,3,5 is
6=2*3
3=3*1
5=5*1
LCM(6,3,5)=2*3*5=30
Hence time taken by all three pigs to be at the starting point again is 30 minutes.
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