Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/818, 5726/2874 quickly i.e. 231903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/818, 5726/2874 is 231903.
LCM(81/818, 5726/2874) = 231903
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/818,5726/2874
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 81,5726
Least Common Multiple of Numerators i.e. LCM of 81,5726 is 463806.
GCF of Denominators means GCF of 818,2874 as per the given fractions.
GCF of 818,2874 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,5726
Given numbers has no common factors except 1. So, there LCM is their product i.e 463806
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 81,5726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,5726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,5726) x common factors =1 x 1 = 1
LCM(81,5726) = ( 81 × 5726 ) / 1
LCM(81,5726) = 463806 / 1
LCM(81,5726) = 463806
Lets's calculate GCF of 818,2874
2 | 818, 2874 |
409, 1437 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 463806/2
Therefore the LCM of Fractions 81/818,5726/2874 is 231903
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 2874
List of positive integer factors of 2874 that divides 2874 without a remainder.
1,2,3,6,479,958,1437,2874
Greatest Common Factor
We found the factors 818,2874 . The biggest common factor number is the GCF number.
So the greatest common factor 818,2874 is 2.
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 81/818, 5726/2874?
Answer: LCM of Numerators as per given numbers 81/818, 5726/2874 is
LCM of Numerators i.e. for 81,5726 is 463806
GCF of denominators i.e. for 818,2874 is 2.
Thus, LCM of Fractions is 231903.Finally, LCM of Fractions for 81/818, 5726/2874 is 231903.