Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 307/854, 1067/903 quickly i.e. 327569/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 307/854, 1067/903 is 327569/7.
LCM(307/854, 1067/903) = 327569/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 307/854,1067/903
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 307,1067
Least Common Multiple of Numerators i.e. LCM of 307,1067 is 327569.
GCF of Denominators means GCF of 854,903 as per the given fractions.
GCF of 854,903 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 307,1067
Given numbers has no common factors except 1. So, there LCM is their product i.e 327569
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 307,1067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,1067) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,1067) x common factors =1 x 1 = 1
LCM(307,1067) = ( 307 × 1067 ) / 1
LCM(307,1067) = 327569 / 1
LCM(307,1067) = 327569
Lets's calculate GCF of 854,903
7 | 854, 903 |
122, 129 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327569/7
Therefore the LCM of Fractions 307/854,1067/903 is 327569/7
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Greatest Common Factor
We found the factors 854,903 . The biggest common factor number is the GCF number.
So the greatest common factor 854,903 is 7.
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 307/854, 1067/903?
Answer: LCM of Numerators as per given numbers 307/854, 1067/903 is
LCM of Numerators i.e. for 307,1067 is 327569
GCF of denominators i.e. for 854,903 is 7.
Thus, LCM of Fractions is 327569/7.Finally, LCM of Fractions for 307/854, 1067/903 is 327569/7.