Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2078/517, 8393/7362 quickly i.e. 17440654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2078/517, 8393/7362 is 17440654.
LCM(2078/517, 8393/7362) = 17440654
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2078/517,8393/7362
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 2078,8393
Least Common Multiple of Numerators i.e. LCM of 2078,8393 is 17440654.
GCF of Denominators means GCF of 517,7362 as per the given fractions.
GCF of 517,7362 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2078,8393
Given numbers has no common factors except 1. So, there LCM is their product i.e 17440654
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 2078,8393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2078,8393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2078,8393) x common factors =1 x 1 = 1
LCM(2078,8393) = ( 2078 × 8393 ) / 1
LCM(2078,8393) = 17440654 / 1
LCM(2078,8393) = 17440654
Lets's calculate GCF of 517,7362
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17440654/1
Therefore the LCM of Fractions 2078/517,8393/7362 is 17440654
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 7362
List of positive integer factors of 7362 that divides 7362 without a remainder.
1,2,3,6,9,18,409,818,1227,2454,3681,7362
Greatest Common Factor
We found the factors 517,7362 . The biggest common factor number is the GCF number.
So the greatest common factor 517,7362 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 2078/517, 8393/7362?
Answer: LCM of Numerators as per given numbers 2078/517, 8393/7362 is
LCM of Numerators i.e. for 2078,8393 is 17440654
GCF of denominators i.e. for 517,7362 is 1.
Thus, LCM of Fractions is 17440654.Finally, LCM of Fractions for 2078/517, 8393/7362 is 17440654.