Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 157/502, 6391/6024 quickly i.e. 1003387/502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 157/502, 6391/6024 is 1003387/502.
LCM(157/502, 6391/6024) = 1003387/502
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 157/502,6391/6024
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 157,6391
Least Common Multiple of Numerators i.e. LCM of 157,6391 is 1003387.
GCF of Denominators means GCF of 502,6024 as per the given fractions.
GCF of 502,6024 is 502 as it is the largest common factor for these numbers.
Lets's calculate LCM of 157,6391
Given numbers has no common factors except 1. So, there LCM is their product i.e 1003387
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 157,6391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,6391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,6391) x common factors =1 x 1 = 1
LCM(157,6391) = ( 157 × 6391 ) / 1
LCM(157,6391) = 1003387 / 1
LCM(157,6391) = 1003387
Lets's calculate GCF of 502,6024
2 | 502, 6024 |
251 | 251, 3012 |
1, 12 |
∴ So the GCF of the given numbers is 2 x 251 = 502
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1003387/502
Therefore the LCM of Fractions 157/502,6391/6024 is 1003387/502
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 6024
List of positive integer factors of 6024 that divides 6024 without a remainder.
1,2,3,4,6,8,12,24,251,502,753,1004,1506,2008,3012,6024
Greatest Common Factor
We found the factors 502,6024 . The biggest common factor number is the GCF number.
So the greatest common factor 502,6024 is 502.
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 157/502, 6391/6024?
Answer: LCM of Numerators as per given numbers 157/502, 6391/6024 is
LCM of Numerators i.e. for 157,6391 is 1003387
GCF of denominators i.e. for 502,6024 is 502.
Thus, LCM of Fractions is 1003387/502.Finally, LCM of Fractions for 157/502, 6391/6024 is 1003387/502.