Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 376/542, 7539/4269 quickly i.e. 2834664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 376/542, 7539/4269 is 2834664.
LCM(376/542, 7539/4269) = 2834664
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 376/542,7539/4269
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 376,7539
Least Common Multiple of Numerators i.e. LCM of 376,7539 is 2834664.
GCF of Denominators means GCF of 542,4269 as per the given fractions.
GCF of 542,4269 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 376,7539
Given numbers has no common factors except 1. So, there LCM is their product i.e 2834664
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 376,7539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,7539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,7539) x common factors =1 x 1 = 1
LCM(376,7539) = ( 376 × 7539 ) / 1
LCM(376,7539) = 2834664 / 1
LCM(376,7539) = 2834664
Lets's calculate GCF of 542,4269
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2834664/1
Therefore the LCM of Fractions 376/542,7539/4269 is 2834664
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 4269
List of positive integer factors of 4269 that divides 4269 without a remainder.
1,3,1423,4269
Greatest Common Factor
We found the factors 542,4269 . The biggest common factor number is the GCF number.
So the greatest common factor 542,4269 is 1.
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 376/542, 7539/4269?
Answer: LCM of Numerators as per given numbers 376/542, 7539/4269 is
LCM of Numerators i.e. for 376,7539 is 2834664
GCF of denominators i.e. for 542,4269 is 1.
Thus, LCM of Fractions is 2834664.Finally, LCM of Fractions for 376/542, 7539/4269 is 2834664.