Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7043/859, 5114/9023 quickly i.e. 36017902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7043/859, 5114/9023 is 36017902.
LCM(7043/859, 5114/9023) = 36017902
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7043/859,5114/9023
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 7043,5114
Least Common Multiple of Numerators i.e. LCM of 7043,5114 is 36017902.
GCF of Denominators means GCF of 859,9023 as per the given fractions.
GCF of 859,9023 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7043,5114
Given numbers has no common factors except 1. So, there LCM is their product i.e 36017902
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 7043,5114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7043,5114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7043,5114) x common factors =1 x 1 = 1
LCM(7043,5114) = ( 7043 × 5114 ) / 1
LCM(7043,5114) = 36017902 / 1
LCM(7043,5114) = 36017902
Lets's calculate GCF of 859,9023
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36017902/1
Therefore the LCM of Fractions 7043/859,5114/9023 is 36017902
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 9023
List of positive integer factors of 9023 that divides 9023 without a remainder.
1,7,1289,9023
Greatest Common Factor
We found the factors 859,9023 . The biggest common factor number is the GCF number.
So the greatest common factor 859,9023 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 7043/859, 5114/9023?
Answer: LCM of Numerators as per given numbers 7043/859, 5114/9023 is
LCM of Numerators i.e. for 7043,5114 is 36017902
GCF of denominators i.e. for 859,9023 is 1.
Thus, LCM of Fractions is 36017902.Finally, LCM of Fractions for 7043/859, 5114/9023 is 36017902.