Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 144/41, 139/5257 quickly i.e. 20016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 144/41, 139/5257 is 20016.
LCM(144/41, 139/5257) = 20016
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 144/41,139/5257
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 144,139
Least Common Multiple of Numerators i.e. LCM of 144,139 is 20016.
GCF of Denominators means GCF of 41,5257 as per the given fractions.
GCF of 41,5257 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 144,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 20016
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 144,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(144,139) x common factors =1 x 1 = 1
LCM(144,139) = ( 144 × 139 ) / 1
LCM(144,139) = 20016 / 1
LCM(144,139) = 20016
Lets's calculate GCF of 41,5257
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20016/1
Therefore the LCM of Fractions 144/41,139/5257 is 20016
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 5257
List of positive integer factors of 5257 that divides 5257 without a remainder.
1,7,751,5257
Greatest Common Factor
We found the factors 41,5257 . The biggest common factor number is the GCF number.
So the greatest common factor 41,5257 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 144/41, 139/5257?
Answer: LCM of Numerators as per given numbers 144/41, 139/5257 is
LCM of Numerators i.e. for 144,139 is 20016
GCF of denominators i.e. for 41,5257 is 1.
Thus, LCM of Fractions is 20016.Finally, LCM of Fractions for 144/41, 139/5257 is 20016.