Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 184/26, 711/5382 quickly i.e. 130824/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 184/26, 711/5382 is 130824/26.
LCM(184/26, 711/5382) = 130824/26
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 184/26,711/5382
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 184,711
Least Common Multiple of Numerators i.e. LCM of 184,711 is 130824.
GCF of Denominators means GCF of 26,5382 as per the given fractions.
GCF of 26,5382 is 26 as it is the largest common factor for these numbers.
Lets's calculate LCM of 184,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 130824
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 184,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,711) x common factors =1 x 1 = 1
LCM(184,711) = ( 184 × 711 ) / 1
LCM(184,711) = 130824 / 1
LCM(184,711) = 130824
Lets's calculate GCF of 26,5382
2 | 26, 5382 |
13 | 13, 2691 |
1, 207 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130824/26
Therefore the LCM of Fractions 184/26,711/5382 is 130824/26
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 5382
List of positive integer factors of 5382 that divides 5382 without a remainder.
1,2,3,6,9,13,18,23,26,39,46,69,78,117,138,207,234,299,414,598,897,1794,2691,5382
Greatest Common Factor
We found the factors 26,5382 . The biggest common factor number is the GCF number.
So the greatest common factor 26,5382 is 26.
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 184/26, 711/5382?
Answer: LCM of Numerators as per given numbers 184/26, 711/5382 is
LCM of Numerators i.e. for 184,711 is 130824
GCF of denominators i.e. for 26,5382 is 26.
Thus, LCM of Fractions is 130824/26.Finally, LCM of Fractions for 184/26, 711/5382 is 130824/26.