Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/439, 6391/8440 quickly i.e. 83083 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/439, 6391/8440 is 83083.
LCM(91/439, 6391/8440) = 83083
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/439,6391/8440
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 91,6391
Least Common Multiple of Numerators i.e. LCM of 91,6391 is 83083.
GCF of Denominators means GCF of 439,8440 as per the given fractions.
GCF of 439,8440 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,6391
7 | 91, 6391 |
13, 913 |
∴ So the LCM of the given numbers is 7 x 13 x 913 = 83083
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 91,6391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,6391) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(91,6391) x common factors =7 x 1 = 7
LCM(91,6391) = ( 91 × 6391 ) / 7
LCM(91,6391) = 581581 / 7
LCM(91,6391) = 83083
Lets's calculate GCF of 439,8440
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83083/1
Therefore the LCM of Fractions 91/439,6391/8440 is 83083
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 8440
List of positive integer factors of 8440 that divides 8440 without a remainder.
1,2,4,5,8,10,20,40,211,422,844,1055,1688,2110,4220,8440
Greatest Common Factor
We found the factors 439,8440 . The biggest common factor number is the GCF number.
So the greatest common factor 439,8440 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 91/439, 6391/8440?
Answer: LCM of Numerators as per given numbers 91/439, 6391/8440 is
LCM of Numerators i.e. for 91,6391 is 83083
GCF of denominators i.e. for 439,8440 is 1.
Thus, LCM of Fractions is 83083.Finally, LCM of Fractions for 91/439, 6391/8440 is 83083.