Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2455/937, 7839/516 quickly i.e. 19244745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2455/937, 7839/516 is 19244745.
LCM(2455/937, 7839/516) = 19244745
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2455/937,7839/516
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 2455,7839
Least Common Multiple of Numerators i.e. LCM of 2455,7839 is 19244745.
GCF of Denominators means GCF of 937,516 as per the given fractions.
GCF of 937,516 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2455,7839
Given numbers has no common factors except 1. So, there LCM is their product i.e 19244745
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 2455,7839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2455,7839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2455,7839) x common factors =1 x 1 = 1
LCM(2455,7839) = ( 2455 × 7839 ) / 1
LCM(2455,7839) = 19244745 / 1
LCM(2455,7839) = 19244745
Lets's calculate GCF of 937,516
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19244745/1
Therefore the LCM of Fractions 2455/937,7839/516 is 19244745
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Greatest Common Factor
We found the factors 937,516 . The biggest common factor number is the GCF number.
So the greatest common factor 937,516 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 2455/937, 7839/516?
Answer: LCM of Numerators as per given numbers 2455/937, 7839/516 is
LCM of Numerators i.e. for 2455,7839 is 19244745
GCF of denominators i.e. for 937,516 is 1.
Thus, LCM of Fractions is 19244745.Finally, LCM of Fractions for 2455/937, 7839/516 is 19244745.