Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4334/574, 7180/6498 quickly i.e. 7779530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4334/574, 7180/6498 is 7779530.
LCM(4334/574, 7180/6498) = 7779530
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4334/574,7180/6498
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 4334,7180
Least Common Multiple of Numerators i.e. LCM of 4334,7180 is 15559060.
GCF of Denominators means GCF of 574,6498 as per the given fractions.
GCF of 574,6498 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4334,7180
2 | 4334, 7180 |
2167, 3590 |
∴ So the LCM of the given numbers is 2 x 2167 x 3590 = 15559060
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 4334,7180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4334,7180) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4334,7180) x common factors =2 x 1 = 2
LCM(4334,7180) = ( 4334 × 7180 ) / 2
LCM(4334,7180) = 31118120 / 2
LCM(4334,7180) = 15559060
Lets's calculate GCF of 574,6498
2 | 574, 6498 |
287, 3249 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15559060/2
Therefore the LCM of Fractions 4334/574,7180/6498 is 7779530
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 6498
List of positive integer factors of 6498 that divides 6498 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498
Greatest Common Factor
We found the factors 574,6498 . The biggest common factor number is the GCF number.
So the greatest common factor 574,6498 is 2.
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 4334/574, 7180/6498?
Answer: LCM of Numerators as per given numbers 4334/574, 7180/6498 is
LCM of Numerators i.e. for 4334,7180 is 15559060
GCF of denominators i.e. for 574,6498 is 2.
Thus, LCM of Fractions is 7779530.Finally, LCM of Fractions for 4334/574, 7180/6498 is 7779530.