Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 813/851, 3556/6581 quickly i.e. 2891028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 813/851, 3556/6581 is 2891028.
LCM(813/851, 3556/6581) = 2891028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 813/851,3556/6581
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 813,3556
Least Common Multiple of Numerators i.e. LCM of 813,3556 is 2891028.
GCF of Denominators means GCF of 851,6581 as per the given fractions.
GCF of 851,6581 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 813,3556
Given numbers has no common factors except 1. So, there LCM is their product i.e 2891028
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 813,3556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,3556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,3556) x common factors =1 x 1 = 1
LCM(813,3556) = ( 813 × 3556 ) / 1
LCM(813,3556) = 2891028 / 1
LCM(813,3556) = 2891028
Lets's calculate GCF of 851,6581
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2891028/1
Therefore the LCM of Fractions 813/851,3556/6581 is 2891028
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 6581
List of positive integer factors of 6581 that divides 6581 without a remainder.
1,6581
Greatest Common Factor
We found the factors 851,6581 . The biggest common factor number is the GCF number.
So the greatest common factor 851,6581 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 813/851, 3556/6581?
Answer: LCM of Numerators as per given numbers 813/851, 3556/6581 is
LCM of Numerators i.e. for 813,3556 is 2891028
GCF of denominators i.e. for 851,6581 is 1.
Thus, LCM of Fractions is 2891028.Finally, LCM of Fractions for 813/851, 3556/6581 is 2891028.