Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 539/451, 5334/726 quickly i.e. 37338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 539/451, 5334/726 is 37338.
LCM(539/451, 5334/726) = 37338
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 539/451,5334/726
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 539,5334
Least Common Multiple of Numerators i.e. LCM of 539,5334 is 410718.
GCF of Denominators means GCF of 451,726 as per the given fractions.
GCF of 451,726 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 539,5334
7 | 539, 5334 |
77, 762 |
∴ So the LCM of the given numbers is 7 x 77 x 762 = 410718
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 539,5334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,5334) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(539,5334) x common factors =7 x 1 = 7
LCM(539,5334) = ( 539 × 5334 ) / 7
LCM(539,5334) = 2875026 / 7
LCM(539,5334) = 410718
Lets's calculate GCF of 451,726
11 | 451, 726 |
41, 66 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410718/11
Therefore the LCM of Fractions 539/451,5334/726 is 37338
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 451,726 . The biggest common factor number is the GCF number.
So the greatest common factor 451,726 is 11.
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 539/451, 5334/726?
Answer: LCM of Numerators as per given numbers 539/451, 5334/726 is
LCM of Numerators i.e. for 539,5334 is 410718
GCF of denominators i.e. for 451,726 is 11.
Thus, LCM of Fractions is 37338.Finally, LCM of Fractions for 539/451, 5334/726 is 37338.