Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 811/279, 137/255 quickly i.e. 111107/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 811/279, 137/255 is 111107/3.
LCM(811/279, 137/255) = 111107/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 811/279,137/255
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 811,137
Least Common Multiple of Numerators i.e. LCM of 811,137 is 111107.
GCF of Denominators means GCF of 279,255 as per the given fractions.
GCF of 279,255 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 811,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 111107
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 811,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,137) x common factors =1 x 1 = 1
LCM(811,137) = ( 811 × 137 ) / 1
LCM(811,137) = 111107 / 1
LCM(811,137) = 111107
Lets's calculate GCF of 279,255
3 | 279, 255 |
93, 85 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111107/3
Therefore the LCM of Fractions 811/279,137/255 is 111107/3
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 279,255 . The biggest common factor number is the GCF number.
So the greatest common factor 279,255 is 3.
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 811/279, 137/255?
Answer: LCM of Numerators as per given numbers 811/279, 137/255 is
LCM of Numerators i.e. for 811,137 is 111107
GCF of denominators i.e. for 279,255 is 3.
Thus, LCM of Fractions is 111107/3.Finally, LCM of Fractions for 811/279, 137/255 is 111107/3.