Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/843, 4098/6457 quickly i.e. 102450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/843, 4098/6457 is 102450.
LCM(50/843, 4098/6457) = 102450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/843,4098/6457
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 50,4098
Least Common Multiple of Numerators i.e. LCM of 50,4098 is 102450.
GCF of Denominators means GCF of 843,6457 as per the given fractions.
GCF of 843,6457 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,4098
2 | 50, 4098 |
25, 2049 |
∴ So the LCM of the given numbers is 2 x 25 x 2049 = 102450
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 50,4098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,4098) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,4098) x common factors =2 x 1 = 2
LCM(50,4098) = ( 50 × 4098 ) / 2
LCM(50,4098) = 204900 / 2
LCM(50,4098) = 102450
Lets's calculate GCF of 843,6457
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102450/1
Therefore the LCM of Fractions 50/843,4098/6457 is 102450
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 6457
List of positive integer factors of 6457 that divides 6457 without a remainder.
1,11,587,6457
Greatest Common Factor
We found the factors 843,6457 . The biggest common factor number is the GCF number.
So the greatest common factor 843,6457 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 50/843, 4098/6457?
Answer: LCM of Numerators as per given numbers 50/843, 4098/6457 is
LCM of Numerators i.e. for 50,4098 is 102450
GCF of denominators i.e. for 843,6457 is 1.
Thus, LCM of Fractions is 102450.Finally, LCM of Fractions for 50/843, 4098/6457 is 102450.