Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 751/26, 813/6166 quickly i.e. 610563/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 751/26, 813/6166 is 610563/2.
LCM(751/26, 813/6166) = 610563/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 751/26,813/6166
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 751,813
Least Common Multiple of Numerators i.e. LCM of 751,813 is 610563.
GCF of Denominators means GCF of 26,6166 as per the given fractions.
GCF of 26,6166 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 751,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 610563
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 751,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,813) x common factors =1 x 1 = 1
LCM(751,813) = ( 751 × 813 ) / 1
LCM(751,813) = 610563 / 1
LCM(751,813) = 610563
Lets's calculate GCF of 26,6166
2 | 26, 6166 |
13, 3083 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 610563/2
Therefore the LCM of Fractions 751/26,813/6166 is 610563/2
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 6166
List of positive integer factors of 6166 that divides 6166 without a remainder.
1,2,3083,6166
Greatest Common Factor
We found the factors 26,6166 . The biggest common factor number is the GCF number.
So the greatest common factor 26,6166 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 751/26, 813/6166?
Answer: LCM of Numerators as per given numbers 751/26, 813/6166 is
LCM of Numerators i.e. for 751,813 is 610563
GCF of denominators i.e. for 26,6166 is 2.
Thus, LCM of Fractions is 610563/2.Finally, LCM of Fractions for 751/26, 813/6166 is 610563/2.