Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3927/881, 6121/712 quickly i.e. 24037167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3927/881, 6121/712 is 24037167.
LCM(3927/881, 6121/712) = 24037167
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3927/881,6121/712
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 3927,6121
Least Common Multiple of Numerators i.e. LCM of 3927,6121 is 24037167.
GCF of Denominators means GCF of 881,712 as per the given fractions.
GCF of 881,712 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3927,6121
Given numbers has no common factors except 1. So, there LCM is their product i.e 24037167
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 3927,6121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3927,6121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3927,6121) x common factors =1 x 1 = 1
LCM(3927,6121) = ( 3927 × 6121 ) / 1
LCM(3927,6121) = 24037167 / 1
LCM(3927,6121) = 24037167
Lets's calculate GCF of 881,712
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24037167/1
Therefore the LCM of Fractions 3927/881,6121/712 is 24037167
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 881,712 . The biggest common factor number is the GCF number.
So the greatest common factor 881,712 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 3927/881, 6121/712?
Answer: LCM of Numerators as per given numbers 3927/881, 6121/712 is
LCM of Numerators i.e. for 3927,6121 is 24037167
GCF of denominators i.e. for 881,712 is 1.
Thus, LCM of Fractions is 24037167.Finally, LCM of Fractions for 3927/881, 6121/712 is 24037167.