Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/181, 5038/7907 quickly i.e. 100760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/181, 5038/7907 is 100760.
LCM(40/181, 5038/7907) = 100760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/181,5038/7907
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 40,5038
Least Common Multiple of Numerators i.e. LCM of 40,5038 is 100760.
GCF of Denominators means GCF of 181,7907 as per the given fractions.
GCF of 181,7907 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,5038
2 | 40, 5038 |
20, 2519 |
∴ So the LCM of the given numbers is 2 x 20 x 2519 = 100760
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 40,5038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,5038) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(40,5038) x common factors =2 x 1 = 2
LCM(40,5038) = ( 40 × 5038 ) / 2
LCM(40,5038) = 201520 / 2
LCM(40,5038) = 100760
Lets's calculate GCF of 181,7907
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100760/1
Therefore the LCM of Fractions 40/181,5038/7907 is 100760
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 7907
List of positive integer factors of 7907 that divides 7907 without a remainder.
1,7907
Greatest Common Factor
We found the factors 181,7907 . The biggest common factor number is the GCF number.
So the greatest common factor 181,7907 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 40/181, 5038/7907?
Answer: LCM of Numerators as per given numbers 40/181, 5038/7907 is
LCM of Numerators i.e. for 40,5038 is 100760
GCF of denominators i.e. for 181,7907 is 1.
Thus, LCM of Fractions is 100760.Finally, LCM of Fractions for 40/181, 5038/7907 is 100760.