Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/181, 5138/2087 quickly i.e. 97622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/181, 5138/2087 is 97622.
LCM(38/181, 5138/2087) = 97622
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/181,5138/2087
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 38,5138
Least Common Multiple of Numerators i.e. LCM of 38,5138 is 97622.
GCF of Denominators means GCF of 181,2087 as per the given fractions.
GCF of 181,2087 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,5138
2 | 38, 5138 |
19, 2569 |
∴ So the LCM of the given numbers is 2 x 19 x 2569 = 97622
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 38,5138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,5138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,5138) x common factors =2 x 1 = 2
LCM(38,5138) = ( 38 × 5138 ) / 2
LCM(38,5138) = 195244 / 2
LCM(38,5138) = 97622
Lets's calculate GCF of 181,2087
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97622/1
Therefore the LCM of Fractions 38/181,5138/2087 is 97622
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 2087
List of positive integer factors of 2087 that divides 2087 without a remainder.
1,2087
Greatest Common Factor
We found the factors 181,2087 . The biggest common factor number is the GCF number.
So the greatest common factor 181,2087 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 38/181, 5138/2087?
Answer: LCM of Numerators as per given numbers 38/181, 5138/2087 is
LCM of Numerators i.e. for 38,5138 is 97622
GCF of denominators i.e. for 181,2087 is 1.
Thus, LCM of Fractions is 97622.Finally, LCM of Fractions for 38/181, 5138/2087 is 97622.