Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3629/738, 5165/6341 quickly i.e. 18743785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3629/738, 5165/6341 is 18743785.
LCM(3629/738, 5165/6341) = 18743785
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3629/738,5165/6341
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 3629,5165
Least Common Multiple of Numerators i.e. LCM of 3629,5165 is 18743785.
GCF of Denominators means GCF of 738,6341 as per the given fractions.
GCF of 738,6341 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3629,5165
Given numbers has no common factors except 1. So, there LCM is their product i.e 18743785
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 3629,5165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3629,5165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3629,5165) x common factors =1 x 1 = 1
LCM(3629,5165) = ( 3629 × 5165 ) / 1
LCM(3629,5165) = 18743785 / 1
LCM(3629,5165) = 18743785
Lets's calculate GCF of 738,6341
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18743785/1
Therefore the LCM of Fractions 3629/738,5165/6341 is 18743785
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 6341
List of positive integer factors of 6341 that divides 6341 without a remainder.
1,17,373,6341
Greatest Common Factor
We found the factors 738,6341 . The biggest common factor number is the GCF number.
So the greatest common factor 738,6341 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 3629/738, 5165/6341?
Answer: LCM of Numerators as per given numbers 3629/738, 5165/6341 is
LCM of Numerators i.e. for 3629,5165 is 18743785
GCF of denominators i.e. for 738,6341 is 1.
Thus, LCM of Fractions is 18743785.Finally, LCM of Fractions for 3629/738, 5165/6341 is 18743785.