Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3341/321, 6847/835 quickly i.e. 22875827 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3341/321, 6847/835 is 22875827.
LCM(3341/321, 6847/835) = 22875827
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3341/321,6847/835
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 3341,6847
Least Common Multiple of Numerators i.e. LCM of 3341,6847 is 22875827.
GCF of Denominators means GCF of 321,835 as per the given fractions.
GCF of 321,835 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3341,6847
Given numbers has no common factors except 1. So, there LCM is their product i.e 22875827
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 3341,6847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3341,6847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3341,6847) x common factors =1 x 1 = 1
LCM(3341,6847) = ( 3341 × 6847 ) / 1
LCM(3341,6847) = 22875827 / 1
LCM(3341,6847) = 22875827
Lets's calculate GCF of 321,835
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22875827/1
Therefore the LCM of Fractions 3341/321,6847/835 is 22875827
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 321,835 . The biggest common factor number is the GCF number.
So the greatest common factor 321,835 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 3341/321, 6847/835?
Answer: LCM of Numerators as per given numbers 3341/321, 6847/835 is
LCM of Numerators i.e. for 3341,6847 is 22875827
GCF of denominators i.e. for 321,835 is 1.
Thus, LCM of Fractions is 22875827.Finally, LCM of Fractions for 3341/321, 6847/835 is 22875827.