Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 798/26, 373/9227 quickly i.e. 297654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 798/26, 373/9227 is 297654.
LCM(798/26, 373/9227) = 297654
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 798/26,373/9227
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 798,373
Least Common Multiple of Numerators i.e. LCM of 798,373 is 297654.
GCF of Denominators means GCF of 26,9227 as per the given fractions.
GCF of 26,9227 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 798,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 297654
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 798,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(798,373) x common factors =1 x 1 = 1
LCM(798,373) = ( 798 × 373 ) / 1
LCM(798,373) = 297654 / 1
LCM(798,373) = 297654
Lets's calculate GCF of 26,9227
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297654/1
Therefore the LCM of Fractions 798/26,373/9227 is 297654
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 9227
List of positive integer factors of 9227 that divides 9227 without a remainder.
1,9227
Greatest Common Factor
We found the factors 26,9227 . The biggest common factor number is the GCF number.
So the greatest common factor 26,9227 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 798/26, 373/9227?
Answer: LCM of Numerators as per given numbers 798/26, 373/9227 is
LCM of Numerators i.e. for 798,373 is 297654
GCF of denominators i.e. for 26,9227 is 1.
Thus, LCM of Fractions is 297654.Finally, LCM of Fractions for 798/26, 373/9227 is 297654.