Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 913/82, 357/4649 quickly i.e. 325941 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 913/82, 357/4649 is 325941.
LCM(913/82, 357/4649) = 325941
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 913/82,357/4649
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 913,357
Least Common Multiple of Numerators i.e. LCM of 913,357 is 325941.
GCF of Denominators means GCF of 82,4649 as per the given fractions.
GCF of 82,4649 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 913,357
Given numbers has no common factors except 1. So, there LCM is their product i.e 325941
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 913,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,357) x common factors =1 x 1 = 1
LCM(913,357) = ( 913 × 357 ) / 1
LCM(913,357) = 325941 / 1
LCM(913,357) = 325941
Lets's calculate GCF of 82,4649
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325941/1
Therefore the LCM of Fractions 913/82,357/4649 is 325941
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 4649
List of positive integer factors of 4649 that divides 4649 without a remainder.
1,4649
Greatest Common Factor
We found the factors 82,4649 . The biggest common factor number is the GCF number.
So the greatest common factor 82,4649 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 913/82, 357/4649?
Answer: LCM of Numerators as per given numbers 913/82, 357/4649 is
LCM of Numerators i.e. for 913,357 is 325941
GCF of denominators i.e. for 82,4649 is 1.
Thus, LCM of Fractions is 325941.Finally, LCM of Fractions for 913/82, 357/4649 is 325941.