Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3170/641, 7341/6945 quickly i.e. 23270970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3170/641, 7341/6945 is 23270970.
LCM(3170/641, 7341/6945) = 23270970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3170/641,7341/6945
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 3170,7341
Least Common Multiple of Numerators i.e. LCM of 3170,7341 is 23270970.
GCF of Denominators means GCF of 641,6945 as per the given fractions.
GCF of 641,6945 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3170,7341
Given numbers has no common factors except 1. So, there LCM is their product i.e 23270970
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 3170,7341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3170,7341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3170,7341) x common factors =1 x 1 = 1
LCM(3170,7341) = ( 3170 × 7341 ) / 1
LCM(3170,7341) = 23270970 / 1
LCM(3170,7341) = 23270970
Lets's calculate GCF of 641,6945
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23270970/1
Therefore the LCM of Fractions 3170/641,7341/6945 is 23270970
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 6945
List of positive integer factors of 6945 that divides 6945 without a remainder.
1,3,5,15,463,1389,2315,6945
Greatest Common Factor
We found the factors 641,6945 . The biggest common factor number is the GCF number.
So the greatest common factor 641,6945 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 3170/641, 7341/6945?
Answer: LCM of Numerators as per given numbers 3170/641, 7341/6945 is
LCM of Numerators i.e. for 3170,7341 is 23270970
GCF of denominators i.e. for 641,6945 is 1.
Thus, LCM of Fractions is 23270970.Finally, LCM of Fractions for 3170/641, 7341/6945 is 23270970.