Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1631/138, 4197/107 quickly i.e. 6845307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1631/138, 4197/107 is 6845307.
LCM(1631/138, 4197/107) = 6845307
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1631/138,4197/107
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 1631,4197
Least Common Multiple of Numerators i.e. LCM of 1631,4197 is 6845307.
GCF of Denominators means GCF of 138,107 as per the given fractions.
GCF of 138,107 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1631,4197
Given numbers has no common factors except 1. So, there LCM is their product i.e 6845307
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 1631,4197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1631,4197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1631,4197) x common factors =1 x 1 = 1
LCM(1631,4197) = ( 1631 × 4197 ) / 1
LCM(1631,4197) = 6845307 / 1
LCM(1631,4197) = 6845307
Lets's calculate GCF of 138,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6845307/1
Therefore the LCM of Fractions 1631/138,4197/107 is 6845307
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Greatest Common Factor
We found the factors 138,107 . The biggest common factor number is the GCF number.
So the greatest common factor 138,107 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 1631/138, 4197/107?
Answer: LCM of Numerators as per given numbers 1631/138, 4197/107 is
LCM of Numerators i.e. for 1631,4197 is 6845307
GCF of denominators i.e. for 138,107 is 1.
Thus, LCM of Fractions is 6845307.Finally, LCM of Fractions for 1631/138, 4197/107 is 6845307.