Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8894/857, 5451/337 quickly i.e. 48481194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8894/857, 5451/337 is 48481194.
LCM(8894/857, 5451/337) = 48481194
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8894/857,5451/337
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 8894,5451
Least Common Multiple of Numerators i.e. LCM of 8894,5451 is 48481194.
GCF of Denominators means GCF of 857,337 as per the given fractions.
GCF of 857,337 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8894,5451
Given numbers has no common factors except 1. So, there LCM is their product i.e 48481194
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 8894,5451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8894,5451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8894,5451) x common factors =1 x 1 = 1
LCM(8894,5451) = ( 8894 × 5451 ) / 1
LCM(8894,5451) = 48481194 / 1
LCM(8894,5451) = 48481194
Lets's calculate GCF of 857,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48481194/1
Therefore the LCM of Fractions 8894/857,5451/337 is 48481194
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 857,337 . The biggest common factor number is the GCF number.
So the greatest common factor 857,337 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 8894/857, 5451/337?
Answer: LCM of Numerators as per given numbers 8894/857, 5451/337 is
LCM of Numerators i.e. for 8894,5451 is 48481194
GCF of denominators i.e. for 857,337 is 1.
Thus, LCM of Fractions is 48481194.Finally, LCM of Fractions for 8894/857, 5451/337 is 48481194.