Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/129, 2667/4130 quickly i.e. 101346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/129, 2667/4130 is 101346.
LCM(38/129, 2667/4130) = 101346
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/129,2667/4130
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 38,2667
Least Common Multiple of Numerators i.e. LCM of 38,2667 is 101346.
GCF of Denominators means GCF of 129,4130 as per the given fractions.
GCF of 129,4130 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,2667
Given numbers has no common factors except 1. So, there LCM is their product i.e 101346
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 38,2667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,2667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,2667) x common factors =1 x 1 = 1
LCM(38,2667) = ( 38 × 2667 ) / 1
LCM(38,2667) = 101346 / 1
LCM(38,2667) = 101346
Lets's calculate GCF of 129,4130
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101346/1
Therefore the LCM of Fractions 38/129,2667/4130 is 101346
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 4130
List of positive integer factors of 4130 that divides 4130 without a remainder.
1,2,5,7,10,14,35,59,70,118,295,413,590,826,2065,4130
Greatest Common Factor
We found the factors 129,4130 . The biggest common factor number is the GCF number.
So the greatest common factor 129,4130 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 38/129, 2667/4130?
Answer: LCM of Numerators as per given numbers 38/129, 2667/4130 is
LCM of Numerators i.e. for 38,2667 is 101346
GCF of denominators i.e. for 129,4130 is 1.
Thus, LCM of Fractions is 101346.Finally, LCM of Fractions for 38/129, 2667/4130 is 101346.