Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9402/871, 5443/134 quickly i.e. 51175086/67 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9402/871, 5443/134 is 51175086/67.
LCM(9402/871, 5443/134) = 51175086/67
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9402/871,5443/134
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 9402,5443
Least Common Multiple of Numerators i.e. LCM of 9402,5443 is 51175086.
GCF of Denominators means GCF of 871,134 as per the given fractions.
GCF of 871,134 is 67 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9402,5443
Given numbers has no common factors except 1. So, there LCM is their product i.e 51175086
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 9402,5443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9402,5443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9402,5443) x common factors =1 x 1 = 1
LCM(9402,5443) = ( 9402 × 5443 ) / 1
LCM(9402,5443) = 51175086 / 1
LCM(9402,5443) = 51175086
Lets's calculate GCF of 871,134
67 | 871, 134 |
13, 2 |
∴ So the GCF of the given numbers is 67 = 67
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51175086/67
Therefore the LCM of Fractions 9402/871,5443/134 is 51175086/67
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 871,134 . The biggest common factor number is the GCF number.
So the greatest common factor 871,134 is 67.
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 9402/871, 5443/134?
Answer: LCM of Numerators as per given numbers 9402/871, 5443/134 is
LCM of Numerators i.e. for 9402,5443 is 51175086
GCF of denominators i.e. for 871,134 is 67.
Thus, LCM of Fractions is 51175086/67.Finally, LCM of Fractions for 9402/871, 5443/134 is 51175086/67.