Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2047/913, 5090/5659 quickly i.e. 10419230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2047/913, 5090/5659 is 10419230.
LCM(2047/913, 5090/5659) = 10419230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2047/913,5090/5659
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 2047,5090
Least Common Multiple of Numerators i.e. LCM of 2047,5090 is 10419230.
GCF of Denominators means GCF of 913,5659 as per the given fractions.
GCF of 913,5659 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2047,5090
Given numbers has no common factors except 1. So, there LCM is their product i.e 10419230
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 2047,5090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2047,5090) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2047,5090) x common factors =1 x 1 = 1
LCM(2047,5090) = ( 2047 × 5090 ) / 1
LCM(2047,5090) = 10419230 / 1
LCM(2047,5090) = 10419230
Lets's calculate GCF of 913,5659
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10419230/1
Therefore the LCM of Fractions 2047/913,5090/5659 is 10419230
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 5659
List of positive integer factors of 5659 that divides 5659 without a remainder.
1,5659
Greatest Common Factor
We found the factors 913,5659 . The biggest common factor number is the GCF number.
So the greatest common factor 913,5659 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 2047/913, 5090/5659?
Answer: LCM of Numerators as per given numbers 2047/913, 5090/5659 is
LCM of Numerators i.e. for 2047,5090 is 10419230
GCF of denominators i.e. for 913,5659 is 1.
Thus, LCM of Fractions is 10419230.Finally, LCM of Fractions for 2047/913, 5090/5659 is 10419230.