Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 130/56, 876/8191 quickly i.e. 56940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 130/56, 876/8191 is 56940.
LCM(130/56, 876/8191) = 56940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 130/56,876/8191
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 130,876
Least Common Multiple of Numerators i.e. LCM of 130,876 is 56940.
GCF of Denominators means GCF of 56,8191 as per the given fractions.
GCF of 56,8191 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 130,876
2 | 130, 876 |
65, 438 |
∴ So the LCM of the given numbers is 2 x 65 x 438 = 56940
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 130,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,876) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,876) x common factors =2 x 1 = 2
LCM(130,876) = ( 130 × 876 ) / 2
LCM(130,876) = 113880 / 2
LCM(130,876) = 56940
Lets's calculate GCF of 56,8191
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56940/1
Therefore the LCM of Fractions 130/56,876/8191 is 56940
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 8191
List of positive integer factors of 8191 that divides 8191 without a remainder.
1,8191
Greatest Common Factor
We found the factors 56,8191 . The biggest common factor number is the GCF number.
So the greatest common factor 56,8191 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 130/56, 876/8191?
Answer: LCM of Numerators as per given numbers 130/56, 876/8191 is
LCM of Numerators i.e. for 130,876 is 56940
GCF of denominators i.e. for 56,8191 is 1.
Thus, LCM of Fractions is 56940.Finally, LCM of Fractions for 130/56, 876/8191 is 56940.