Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6181/491, 6896/955 quickly i.e. 42624176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6181/491, 6896/955 is 42624176.
LCM(6181/491, 6896/955) = 42624176
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6181/491,6896/955
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 6181,6896
Least Common Multiple of Numerators i.e. LCM of 6181,6896 is 42624176.
GCF of Denominators means GCF of 491,955 as per the given fractions.
GCF of 491,955 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6181,6896
Given numbers has no common factors except 1. So, there LCM is their product i.e 42624176
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 6181,6896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6181,6896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6181,6896) x common factors =1 x 1 = 1
LCM(6181,6896) = ( 6181 × 6896 ) / 1
LCM(6181,6896) = 42624176 / 1
LCM(6181,6896) = 42624176
Lets's calculate GCF of 491,955
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42624176/1
Therefore the LCM of Fractions 6181/491,6896/955 is 42624176
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Greatest Common Factor
We found the factors 491,955 . The biggest common factor number is the GCF number.
So the greatest common factor 491,955 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 6181/491, 6896/955?
Answer: LCM of Numerators as per given numbers 6181/491, 6896/955 is
LCM of Numerators i.e. for 6181,6896 is 42624176
GCF of denominators i.e. for 491,955 is 1.
Thus, LCM of Fractions is 42624176.Finally, LCM of Fractions for 6181/491, 6896/955 is 42624176.