Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 307/116, 5374/865 quickly i.e. 1649818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 307/116, 5374/865 is 1649818.
LCM(307/116, 5374/865) = 1649818
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 307/116,5374/865
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 307,5374
Least Common Multiple of Numerators i.e. LCM of 307,5374 is 1649818.
GCF of Denominators means GCF of 116,865 as per the given fractions.
GCF of 116,865 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 307,5374
Given numbers has no common factors except 1. So, there LCM is their product i.e 1649818
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 307,5374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,5374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,5374) x common factors =1 x 1 = 1
LCM(307,5374) = ( 307 × 5374 ) / 1
LCM(307,5374) = 1649818 / 1
LCM(307,5374) = 1649818
Lets's calculate GCF of 116,865
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1649818/1
Therefore the LCM of Fractions 307/116,5374/865 is 1649818
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Greatest Common Factor
We found the factors 116,865 . The biggest common factor number is the GCF number.
So the greatest common factor 116,865 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 307/116, 5374/865?
Answer: LCM of Numerators as per given numbers 307/116, 5374/865 is
LCM of Numerators i.e. for 307,5374 is 1649818
GCF of denominators i.e. for 116,865 is 1.
Thus, LCM of Fractions is 1649818.Finally, LCM of Fractions for 307/116, 5374/865 is 1649818.