Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2905/982, 3201/6827 quickly i.e. 9298905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2905/982, 3201/6827 is 9298905.
LCM(2905/982, 3201/6827) = 9298905
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2905/982,3201/6827
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 2905,3201
Least Common Multiple of Numerators i.e. LCM of 2905,3201 is 9298905.
GCF of Denominators means GCF of 982,6827 as per the given fractions.
GCF of 982,6827 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2905,3201
Given numbers has no common factors except 1. So, there LCM is their product i.e 9298905
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 2905,3201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2905,3201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2905,3201) x common factors =1 x 1 = 1
LCM(2905,3201) = ( 2905 × 3201 ) / 1
LCM(2905,3201) = 9298905 / 1
LCM(2905,3201) = 9298905
Lets's calculate GCF of 982,6827
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9298905/1
Therefore the LCM of Fractions 2905/982,3201/6827 is 9298905
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 6827
List of positive integer factors of 6827 that divides 6827 without a remainder.
1,6827
Greatest Common Factor
We found the factors 982,6827 . The biggest common factor number is the GCF number.
So the greatest common factor 982,6827 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 2905/982, 3201/6827?
Answer: LCM of Numerators as per given numbers 2905/982, 3201/6827 is
LCM of Numerators i.e. for 2905,3201 is 9298905
GCF of denominators i.e. for 982,6827 is 1.
Thus, LCM of Fractions is 9298905.Finally, LCM of Fractions for 2905/982, 3201/6827 is 9298905.