Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 791/898, 2323/547 quickly i.e. 1837493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 791/898, 2323/547 is 1837493.
LCM(791/898, 2323/547) = 1837493
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 791/898,2323/547
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 791,2323
Least Common Multiple of Numerators i.e. LCM of 791,2323 is 1837493.
GCF of Denominators means GCF of 898,547 as per the given fractions.
GCF of 898,547 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 791,2323
Given numbers has no common factors except 1. So, there LCM is their product i.e 1837493
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 791,2323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,2323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,2323) x common factors =1 x 1 = 1
LCM(791,2323) = ( 791 × 2323 ) / 1
LCM(791,2323) = 1837493 / 1
LCM(791,2323) = 1837493
Lets's calculate GCF of 898,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1837493/1
Therefore the LCM of Fractions 791/898,2323/547 is 1837493
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Greatest Common Factor
We found the factors 898,547 . The biggest common factor number is the GCF number.
So the greatest common factor 898,547 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 791/898, 2323/547?
Answer: LCM of Numerators as per given numbers 791/898, 2323/547 is
LCM of Numerators i.e. for 791,2323 is 1837493
GCF of denominators i.e. for 898,547 is 1.
Thus, LCM of Fractions is 1837493.Finally, LCM of Fractions for 791/898, 2323/547 is 1837493.