Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 779/13, 521/4614 quickly i.e. 405859 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 779/13, 521/4614 is 405859.
LCM(779/13, 521/4614) = 405859
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 779/13,521/4614
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 779,521
Least Common Multiple of Numerators i.e. LCM of 779,521 is 405859.
GCF of Denominators means GCF of 13,4614 as per the given fractions.
GCF of 13,4614 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 779,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 405859
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 779,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,521) x common factors =1 x 1 = 1
LCM(779,521) = ( 779 × 521 ) / 1
LCM(779,521) = 405859 / 1
LCM(779,521) = 405859
Lets's calculate GCF of 13,4614
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405859/1
Therefore the LCM of Fractions 779/13,521/4614 is 405859
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 4614
List of positive integer factors of 4614 that divides 4614 without a remainder.
1,2,3,6,769,1538,2307,4614
Greatest Common Factor
We found the factors 13,4614 . The biggest common factor number is the GCF number.
So the greatest common factor 13,4614 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 779/13, 521/4614?
Answer: LCM of Numerators as per given numbers 779/13, 521/4614 is
LCM of Numerators i.e. for 779,521 is 405859
GCF of denominators i.e. for 13,4614 is 1.
Thus, LCM of Fractions is 405859.Finally, LCM of Fractions for 779/13, 521/4614 is 405859.