Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6531/694, 6308/4939 quickly i.e. 41197548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6531/694, 6308/4939 is 41197548.
LCM(6531/694, 6308/4939) = 41197548
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6531/694,6308/4939
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 6531,6308
Least Common Multiple of Numerators i.e. LCM of 6531,6308 is 41197548.
GCF of Denominators means GCF of 694,4939 as per the given fractions.
GCF of 694,4939 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6531,6308
Given numbers has no common factors except 1. So, there LCM is their product i.e 41197548
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 6531,6308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6531,6308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6531,6308) x common factors =1 x 1 = 1
LCM(6531,6308) = ( 6531 × 6308 ) / 1
LCM(6531,6308) = 41197548 / 1
LCM(6531,6308) = 41197548
Lets's calculate GCF of 694,4939
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41197548/1
Therefore the LCM of Fractions 6531/694,6308/4939 is 41197548
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Factors of 4939
List of positive integer factors of 4939 that divides 4939 without a remainder.
1,11,449,4939
Greatest Common Factor
We found the factors 694,4939 . The biggest common factor number is the GCF number.
So the greatest common factor 694,4939 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 6531/694, 6308/4939?
Answer: LCM of Numerators as per given numbers 6531/694, 6308/4939 is
LCM of Numerators i.e. for 6531,6308 is 41197548
GCF of denominators i.e. for 694,4939 is 1.
Thus, LCM of Fractions is 41197548.Finally, LCM of Fractions for 6531/694, 6308/4939 is 41197548.