Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5947/92, 4130/957 quickly i.e. 24561110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5947/92, 4130/957 is 24561110.
LCM(5947/92, 4130/957) = 24561110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5947/92,4130/957
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 5947,4130
Least Common Multiple of Numerators i.e. LCM of 5947,4130 is 24561110.
GCF of Denominators means GCF of 92,957 as per the given fractions.
GCF of 92,957 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5947,4130
Given numbers has no common factors except 1. So, there LCM is their product i.e 24561110
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 5947,4130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5947,4130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5947,4130) x common factors =1 x 1 = 1
LCM(5947,4130) = ( 5947 × 4130 ) / 1
LCM(5947,4130) = 24561110 / 1
LCM(5947,4130) = 24561110
Lets's calculate GCF of 92,957
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24561110/1
Therefore the LCM of Fractions 5947/92,4130/957 is 24561110
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 92,957 . The biggest common factor number is the GCF number.
So the greatest common factor 92,957 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 5947/92, 4130/957?
Answer: LCM of Numerators as per given numbers 5947/92, 4130/957 is
LCM of Numerators i.e. for 5947,4130 is 24561110
GCF of denominators i.e. for 92,957 is 1.
Thus, LCM of Fractions is 24561110.Finally, LCM of Fractions for 5947/92, 4130/957 is 24561110.