Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 373/26, 117/7239 quickly i.e. 43641 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 373/26, 117/7239 is 43641.
LCM(373/26, 117/7239) = 43641
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 373/26,117/7239
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 373,117
Least Common Multiple of Numerators i.e. LCM of 373,117 is 43641.
GCF of Denominators means GCF of 26,7239 as per the given fractions.
GCF of 26,7239 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 373,117
Given numbers has no common factors except 1. So, there LCM is their product i.e 43641
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 373,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,117) x common factors =1 x 1 = 1
LCM(373,117) = ( 373 × 117 ) / 1
LCM(373,117) = 43641 / 1
LCM(373,117) = 43641
Lets's calculate GCF of 26,7239
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43641/1
Therefore the LCM of Fractions 373/26,117/7239 is 43641
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 7239
List of positive integer factors of 7239 that divides 7239 without a remainder.
1,3,19,57,127,381,2413,7239
Greatest Common Factor
We found the factors 26,7239 . The biggest common factor number is the GCF number.
So the greatest common factor 26,7239 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 373/26, 117/7239?
Answer: LCM of Numerators as per given numbers 373/26, 117/7239 is
LCM of Numerators i.e. for 373,117 is 43641
GCF of denominators i.e. for 26,7239 is 1.
Thus, LCM of Fractions is 43641.Finally, LCM of Fractions for 373/26, 117/7239 is 43641.