Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 981/595, 6343/8975 quickly i.e. 6222483/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 981/595, 6343/8975 is 6222483/5.
LCM(981/595, 6343/8975) = 6222483/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 981/595,6343/8975
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 981,6343
Least Common Multiple of Numerators i.e. LCM of 981,6343 is 6222483.
GCF of Denominators means GCF of 595,8975 as per the given fractions.
GCF of 595,8975 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 981,6343
Given numbers has no common factors except 1. So, there LCM is their product i.e 6222483
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 981,6343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,6343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(981,6343) x common factors =1 x 1 = 1
LCM(981,6343) = ( 981 × 6343 ) / 1
LCM(981,6343) = 6222483 / 1
LCM(981,6343) = 6222483
Lets's calculate GCF of 595,8975
5 | 595, 8975 |
119, 1795 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6222483/5
Therefore the LCM of Fractions 981/595,6343/8975 is 6222483/5
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Factors of 8975
List of positive integer factors of 8975 that divides 8975 without a remainder.
1,5,25,359,1795,8975
Greatest Common Factor
We found the factors 595,8975 . The biggest common factor number is the GCF number.
So the greatest common factor 595,8975 is 5.
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 981/595, 6343/8975?
Answer: LCM of Numerators as per given numbers 981/595, 6343/8975 is
LCM of Numerators i.e. for 981,6343 is 6222483
GCF of denominators i.e. for 595,8975 is 5.
Thus, LCM of Fractions is 6222483/5.Finally, LCM of Fractions for 981/595, 6343/8975 is 6222483/5.