Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/478, 4143/5930 quickly i.e. 377013/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/478, 4143/5930 is 377013/2.
LCM(91/478, 4143/5930) = 377013/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/478,4143/5930
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 91,4143
Least Common Multiple of Numerators i.e. LCM of 91,4143 is 377013.
GCF of Denominators means GCF of 478,5930 as per the given fractions.
GCF of 478,5930 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,4143
Given numbers has no common factors except 1. So, there LCM is their product i.e 377013
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 91,4143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,4143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,4143) x common factors =1 x 1 = 1
LCM(91,4143) = ( 91 × 4143 ) / 1
LCM(91,4143) = 377013 / 1
LCM(91,4143) = 377013
Lets's calculate GCF of 478,5930
2 | 478, 5930 |
239, 2965 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377013/2
Therefore the LCM of Fractions 91/478,4143/5930 is 377013/2
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 5930
List of positive integer factors of 5930 that divides 5930 without a remainder.
1,2,5,10,593,1186,2965,5930
Greatest Common Factor
We found the factors 478,5930 . The biggest common factor number is the GCF number.
So the greatest common factor 478,5930 is 2.
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 91/478, 4143/5930?
Answer: LCM of Numerators as per given numbers 91/478, 4143/5930 is
LCM of Numerators i.e. for 91,4143 is 377013
GCF of denominators i.e. for 478,5930 is 2.
Thus, LCM of Fractions is 377013/2.Finally, LCM of Fractions for 91/478, 4143/5930 is 377013/2.