Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5297/540, 7938/1136 quickly i.e. 42047586/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5297/540, 7938/1136 is 42047586/4.
LCM(5297/540, 7938/1136) = 42047586/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5297/540,7938/1136
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 5297,7938
Least Common Multiple of Numerators i.e. LCM of 5297,7938 is 42047586.
GCF of Denominators means GCF of 540,1136 as per the given fractions.
GCF of 540,1136 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5297,7938
Given numbers has no common factors except 1. So, there LCM is their product i.e 42047586
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 5297,7938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5297,7938) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5297,7938) x common factors =1 x 1 = 1
LCM(5297,7938) = ( 5297 × 7938 ) / 1
LCM(5297,7938) = 42047586 / 1
LCM(5297,7938) = 42047586
Lets's calculate GCF of 540,1136
2 | 540, 1136 |
2 | 270, 568 |
135, 284 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42047586/4
Therefore the LCM of Fractions 5297/540,7938/1136 is 42047586/4
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 1136
List of positive integer factors of 1136 that divides 1136 without a remainder.
1,2,4,8,16,71,142,284,568,1136
Greatest Common Factor
We found the factors 540,1136 . The biggest common factor number is the GCF number.
So the greatest common factor 540,1136 is 4.
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 5297/540, 7938/1136?
Answer: LCM of Numerators as per given numbers 5297/540, 7938/1136 is
LCM of Numerators i.e. for 5297,7938 is 42047586
GCF of denominators i.e. for 540,1136 is 4.
Thus, LCM of Fractions is 42047586/4.Finally, LCM of Fractions for 5297/540, 7938/1136 is 42047586/4.