Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 273/113, 3929/851 quickly i.e. 1072617 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 273/113, 3929/851 is 1072617.
LCM(273/113, 3929/851) = 1072617
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 273/113,3929/851
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 273,3929
Least Common Multiple of Numerators i.e. LCM of 273,3929 is 1072617.
GCF of Denominators means GCF of 113,851 as per the given fractions.
GCF of 113,851 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 273,3929
Given numbers has no common factors except 1. So, there LCM is their product i.e 1072617
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 273,3929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,3929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,3929) x common factors =1 x 1 = 1
LCM(273,3929) = ( 273 × 3929 ) / 1
LCM(273,3929) = 1072617 / 1
LCM(273,3929) = 1072617
Lets's calculate GCF of 113,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1072617/1
Therefore the LCM of Fractions 273/113,3929/851 is 1072617
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 113,851 . The biggest common factor number is the GCF number.
So the greatest common factor 113,851 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 273/113, 3929/851?
Answer: LCM of Numerators as per given numbers 273/113, 3929/851 is
LCM of Numerators i.e. for 273,3929 is 1072617
GCF of denominators i.e. for 113,851 is 1.
Thus, LCM of Fractions is 1072617.Finally, LCM of Fractions for 273/113, 3929/851 is 1072617.