Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 373/710, 7872/2939 quickly i.e. 2936256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 373/710, 7872/2939 is 2936256.
LCM(373/710, 7872/2939) = 2936256
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 373/710,7872/2939
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 373,7872
Least Common Multiple of Numerators i.e. LCM of 373,7872 is 2936256.
GCF of Denominators means GCF of 710,2939 as per the given fractions.
GCF of 710,2939 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 373,7872
Given numbers has no common factors except 1. So, there LCM is their product i.e 2936256
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 373,7872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,7872) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,7872) x common factors =1 x 1 = 1
LCM(373,7872) = ( 373 × 7872 ) / 1
LCM(373,7872) = 2936256 / 1
LCM(373,7872) = 2936256
Lets's calculate GCF of 710,2939
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2936256/1
Therefore the LCM of Fractions 373/710,7872/2939 is 2936256
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 2939
List of positive integer factors of 2939 that divides 2939 without a remainder.
1,2939
Greatest Common Factor
We found the factors 710,2939 . The biggest common factor number is the GCF number.
So the greatest common factor 710,2939 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 373/710, 7872/2939?
Answer: LCM of Numerators as per given numbers 373/710, 7872/2939 is
LCM of Numerators i.e. for 373,7872 is 2936256
GCF of denominators i.e. for 710,2939 is 1.
Thus, LCM of Fractions is 2936256.Finally, LCM of Fractions for 373/710, 7872/2939 is 2936256.