Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4079/101, 7121/6938 quickly i.e. 29046559 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4079/101, 7121/6938 is 29046559.
LCM(4079/101, 7121/6938) = 29046559
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4079/101,7121/6938
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 4079,7121
Least Common Multiple of Numerators i.e. LCM of 4079,7121 is 29046559.
GCF of Denominators means GCF of 101,6938 as per the given fractions.
GCF of 101,6938 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4079,7121
Given numbers has no common factors except 1. So, there LCM is their product i.e 29046559
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 4079,7121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4079,7121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4079,7121) x common factors =1 x 1 = 1
LCM(4079,7121) = ( 4079 × 7121 ) / 1
LCM(4079,7121) = 29046559 / 1
LCM(4079,7121) = 29046559
Lets's calculate GCF of 101,6938
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29046559/1
Therefore the LCM of Fractions 4079/101,7121/6938 is 29046559
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 6938
List of positive integer factors of 6938 that divides 6938 without a remainder.
1,2,3469,6938
Greatest Common Factor
We found the factors 101,6938 . The biggest common factor number is the GCF number.
So the greatest common factor 101,6938 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 4079/101, 7121/6938?
Answer: LCM of Numerators as per given numbers 4079/101, 7121/6938 is
LCM of Numerators i.e. for 4079,7121 is 29046559
GCF of denominators i.e. for 101,6938 is 1.
Thus, LCM of Fractions is 29046559.Finally, LCM of Fractions for 4079/101, 7121/6938 is 29046559.