Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6676/373, 1691/3243 quickly i.e. 11289116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6676/373, 1691/3243 is 11289116.
LCM(6676/373, 1691/3243) = 11289116
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6676/373,1691/3243
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 6676,1691
Least Common Multiple of Numerators i.e. LCM of 6676,1691 is 11289116.
GCF of Denominators means GCF of 373,3243 as per the given fractions.
GCF of 373,3243 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6676,1691
Given numbers has no common factors except 1. So, there LCM is their product i.e 11289116
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 6676,1691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6676,1691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6676,1691) x common factors =1 x 1 = 1
LCM(6676,1691) = ( 6676 × 1691 ) / 1
LCM(6676,1691) = 11289116 / 1
LCM(6676,1691) = 11289116
Lets's calculate GCF of 373,3243
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11289116/1
Therefore the LCM of Fractions 6676/373,1691/3243 is 11289116
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Factors of 3243
List of positive integer factors of 3243 that divides 3243 without a remainder.
1,3,23,47,69,141,1081,3243
Greatest Common Factor
We found the factors 373,3243 . The biggest common factor number is the GCF number.
So the greatest common factor 373,3243 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 6676/373, 1691/3243?
Answer: LCM of Numerators as per given numbers 6676/373, 1691/3243 is
LCM of Numerators i.e. for 6676,1691 is 11289116
GCF of denominators i.e. for 373,3243 is 1.
Thus, LCM of Fractions is 11289116.Finally, LCM of Fractions for 6676/373, 1691/3243 is 11289116.