Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 827/411, 6592/391 quickly i.e. 5451584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 827/411, 6592/391 is 5451584.
LCM(827/411, 6592/391) = 5451584
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 827/411,6592/391
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 827,6592
Least Common Multiple of Numerators i.e. LCM of 827,6592 is 5451584.
GCF of Denominators means GCF of 411,391 as per the given fractions.
GCF of 411,391 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 827,6592
Given numbers has no common factors except 1. So, there LCM is their product i.e 5451584
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 827,6592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,6592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,6592) x common factors =1 x 1 = 1
LCM(827,6592) = ( 827 × 6592 ) / 1
LCM(827,6592) = 5451584 / 1
LCM(827,6592) = 5451584
Lets's calculate GCF of 411,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5451584/1
Therefore the LCM of Fractions 827/411,6592/391 is 5451584
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 411,391 . The biggest common factor number is the GCF number.
So the greatest common factor 411,391 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 827/411, 6592/391?
Answer: LCM of Numerators as per given numbers 827/411, 6592/391 is
LCM of Numerators i.e. for 827,6592 is 5451584
GCF of denominators i.e. for 411,391 is 1.
Thus, LCM of Fractions is 5451584.Finally, LCM of Fractions for 827/411, 6592/391 is 5451584.