Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 733/361, 3539/4657 quickly i.e. 2594087 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 733/361, 3539/4657 is 2594087.
LCM(733/361, 3539/4657) = 2594087
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 733/361,3539/4657
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 733,3539
Least Common Multiple of Numerators i.e. LCM of 733,3539 is 2594087.
GCF of Denominators means GCF of 361,4657 as per the given fractions.
GCF of 361,4657 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 733,3539
Given numbers has no common factors except 1. So, there LCM is their product i.e 2594087
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 733,3539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,3539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,3539) x common factors =1 x 1 = 1
LCM(733,3539) = ( 733 × 3539 ) / 1
LCM(733,3539) = 2594087 / 1
LCM(733,3539) = 2594087
Lets's calculate GCF of 361,4657
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2594087/1
Therefore the LCM of Fractions 733/361,3539/4657 is 2594087
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Factors of 4657
List of positive integer factors of 4657 that divides 4657 without a remainder.
1,4657
Greatest Common Factor
We found the factors 361,4657 . The biggest common factor number is the GCF number.
So the greatest common factor 361,4657 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 733/361, 3539/4657?
Answer: LCM of Numerators as per given numbers 733/361, 3539/4657 is
LCM of Numerators i.e. for 733,3539 is 2594087
GCF of denominators i.e. for 361,4657 is 1.
Thus, LCM of Fractions is 2594087.Finally, LCM of Fractions for 733/361, 3539/4657 is 2594087.