Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 518/588, 4271/155 quickly i.e. 2212378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 518/588, 4271/155 is 2212378.
LCM(518/588, 4271/155) = 2212378
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 518/588,4271/155
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 518,4271
Least Common Multiple of Numerators i.e. LCM of 518,4271 is 2212378.
GCF of Denominators means GCF of 588,155 as per the given fractions.
GCF of 588,155 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 518,4271
Given numbers has no common factors except 1. So, there LCM is their product i.e 2212378
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 518,4271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,4271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(518,4271) x common factors =1 x 1 = 1
LCM(518,4271) = ( 518 × 4271 ) / 1
LCM(518,4271) = 2212378 / 1
LCM(518,4271) = 2212378
Lets's calculate GCF of 588,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2212378/1
Therefore the LCM of Fractions 518/588,4271/155 is 2212378
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Greatest Common Factor
We found the factors 588,155 . The biggest common factor number is the GCF number.
So the greatest common factor 588,155 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 518/588, 4271/155?
Answer: LCM of Numerators as per given numbers 518/588, 4271/155 is
LCM of Numerators i.e. for 518,4271 is 2212378
GCF of denominators i.e. for 588,155 is 1.
Thus, LCM of Fractions is 2212378.Finally, LCM of Fractions for 518/588, 4271/155 is 2212378.