Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1137/838, 4844/9136 quickly i.e. 2753814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1137/838, 4844/9136 is 2753814.
LCM(1137/838, 4844/9136) = 2753814
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1137/838,4844/9136
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 1137,4844
Least Common Multiple of Numerators i.e. LCM of 1137,4844 is 5507628.
GCF of Denominators means GCF of 838,9136 as per the given fractions.
GCF of 838,9136 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1137,4844
Given numbers has no common factors except 1. So, there LCM is their product i.e 5507628
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 1137,4844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1137,4844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1137,4844) x common factors =1 x 1 = 1
LCM(1137,4844) = ( 1137 × 4844 ) / 1
LCM(1137,4844) = 5507628 / 1
LCM(1137,4844) = 5507628
Lets's calculate GCF of 838,9136
2 | 838, 9136 |
419, 4568 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5507628/2
Therefore the LCM of Fractions 1137/838,4844/9136 is 2753814
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Factors of 9136
List of positive integer factors of 9136 that divides 9136 without a remainder.
1,2,4,8,16,571,1142,2284,4568,9136
Greatest Common Factor
We found the factors 838,9136 . The biggest common factor number is the GCF number.
So the greatest common factor 838,9136 is 2.
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 1137/838, 4844/9136?
Answer: LCM of Numerators as per given numbers 1137/838, 4844/9136 is
LCM of Numerators i.e. for 1137,4844 is 5507628
GCF of denominators i.e. for 838,9136 is 2.
Thus, LCM of Fractions is 2753814.Finally, LCM of Fractions for 1137/838, 4844/9136 is 2753814.