Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3254/353, 6909/367 quickly i.e. 22481886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3254/353, 6909/367 is 22481886.
LCM(3254/353, 6909/367) = 22481886
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3254/353,6909/367
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 3254,6909
Least Common Multiple of Numerators i.e. LCM of 3254,6909 is 22481886.
GCF of Denominators means GCF of 353,367 as per the given fractions.
GCF of 353,367 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3254,6909
Given numbers has no common factors except 1. So, there LCM is their product i.e 22481886
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 3254,6909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3254,6909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3254,6909) x common factors =1 x 1 = 1
LCM(3254,6909) = ( 3254 × 6909 ) / 1
LCM(3254,6909) = 22481886 / 1
LCM(3254,6909) = 22481886
Lets's calculate GCF of 353,367
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22481886/1
Therefore the LCM of Fractions 3254/353,6909/367 is 22481886
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Greatest Common Factor
We found the factors 353,367 . The biggest common factor number is the GCF number.
So the greatest common factor 353,367 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 3254/353, 6909/367?
Answer: LCM of Numerators as per given numbers 3254/353, 6909/367 is
LCM of Numerators i.e. for 3254,6909 is 22481886
GCF of denominators i.e. for 353,367 is 1.
Thus, LCM of Fractions is 22481886.Finally, LCM of Fractions for 3254/353, 6909/367 is 22481886.