Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1853/137, 4299/561 quickly i.e. 7966047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1853/137, 4299/561 is 7966047.
LCM(1853/137, 4299/561) = 7966047
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1853/137,4299/561
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 1853,4299
Least Common Multiple of Numerators i.e. LCM of 1853,4299 is 7966047.
GCF of Denominators means GCF of 137,561 as per the given fractions.
GCF of 137,561 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1853,4299
Given numbers has no common factors except 1. So, there LCM is their product i.e 7966047
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 1853,4299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1853,4299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1853,4299) x common factors =1 x 1 = 1
LCM(1853,4299) = ( 1853 × 4299 ) / 1
LCM(1853,4299) = 7966047 / 1
LCM(1853,4299) = 7966047
Lets's calculate GCF of 137,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7966047/1
Therefore the LCM of Fractions 1853/137,4299/561 is 7966047
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 137,561 . The biggest common factor number is the GCF number.
So the greatest common factor 137,561 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 1853/137, 4299/561?
Answer: LCM of Numerators as per given numbers 1853/137, 4299/561 is
LCM of Numerators i.e. for 1853,4299 is 7966047
GCF of denominators i.e. for 137,561 is 1.
Thus, LCM of Fractions is 7966047.Finally, LCM of Fractions for 1853/137, 4299/561 is 7966047.