Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6798/585, 4927/6421 quickly i.e. 33493746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6798/585, 4927/6421 is 33493746.
LCM(6798/585, 4927/6421) = 33493746
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6798/585,4927/6421
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 6798,4927
Least Common Multiple of Numerators i.e. LCM of 6798,4927 is 33493746.
GCF of Denominators means GCF of 585,6421 as per the given fractions.
GCF of 585,6421 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6798,4927
Given numbers has no common factors except 1. So, there LCM is their product i.e 33493746
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 6798,4927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6798,4927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6798,4927) x common factors =1 x 1 = 1
LCM(6798,4927) = ( 6798 × 4927 ) / 1
LCM(6798,4927) = 33493746 / 1
LCM(6798,4927) = 33493746
Lets's calculate GCF of 585,6421
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33493746/1
Therefore the LCM of Fractions 6798/585,4927/6421 is 33493746
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 6421
List of positive integer factors of 6421 that divides 6421 without a remainder.
1,6421
Greatest Common Factor
We found the factors 585,6421 . The biggest common factor number is the GCF number.
So the greatest common factor 585,6421 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 6798/585, 4927/6421?
Answer: LCM of Numerators as per given numbers 6798/585, 4927/6421 is
LCM of Numerators i.e. for 6798,4927 is 33493746
GCF of denominators i.e. for 585,6421 is 1.
Thus, LCM of Fractions is 33493746.Finally, LCM of Fractions for 6798/585, 4927/6421 is 33493746.