Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4181/591, 6962/6027 quickly i.e. 29108122/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4181/591, 6962/6027 is 29108122/3.
LCM(4181/591, 6962/6027) = 29108122/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4181/591,6962/6027
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 4181,6962
Least Common Multiple of Numerators i.e. LCM of 4181,6962 is 29108122.
GCF of Denominators means GCF of 591,6027 as per the given fractions.
GCF of 591,6027 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4181,6962
Given numbers has no common factors except 1. So, there LCM is their product i.e 29108122
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 4181,6962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4181,6962) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4181,6962) x common factors =1 x 1 = 1
LCM(4181,6962) = ( 4181 × 6962 ) / 1
LCM(4181,6962) = 29108122 / 1
LCM(4181,6962) = 29108122
Lets's calculate GCF of 591,6027
3 | 591, 6027 |
197, 2009 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29108122/3
Therefore the LCM of Fractions 4181/591,6962/6027 is 29108122/3
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 6027
List of positive integer factors of 6027 that divides 6027 without a remainder.
1,3,7,21,41,49,123,147,287,861,2009,6027
Greatest Common Factor
We found the factors 591,6027 . The biggest common factor number is the GCF number.
So the greatest common factor 591,6027 is 3.
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 4181/591, 6962/6027?
Answer: LCM of Numerators as per given numbers 4181/591, 6962/6027 is
LCM of Numerators i.e. for 4181,6962 is 29108122
GCF of denominators i.e. for 591,6027 is 3.
Thus, LCM of Fractions is 29108122/3.Finally, LCM of Fractions for 4181/591, 6962/6027 is 29108122/3.