Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6310/591, 6352/6963 quickly i.e. 20040560/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6310/591, 6352/6963 is 20040560/3.
LCM(6310/591, 6352/6963) = 20040560/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6310/591,6352/6963
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 6310,6352
Least Common Multiple of Numerators i.e. LCM of 6310,6352 is 20040560.
GCF of Denominators means GCF of 591,6963 as per the given fractions.
GCF of 591,6963 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6310,6352
2 | 6310, 6352 |
3155, 3176 |
∴ So the LCM of the given numbers is 2 x 3155 x 3176 = 20040560
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 6310,6352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6310,6352) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6310,6352) x common factors =2 x 1 = 2
LCM(6310,6352) = ( 6310 × 6352 ) / 2
LCM(6310,6352) = 40081120 / 2
LCM(6310,6352) = 20040560
Lets's calculate GCF of 591,6963
3 | 591, 6963 |
197, 2321 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20040560/3
Therefore the LCM of Fractions 6310/591,6352/6963 is 20040560/3
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 6963
List of positive integer factors of 6963 that divides 6963 without a remainder.
1,3,11,33,211,633,2321,6963
Greatest Common Factor
We found the factors 591,6963 . The biggest common factor number is the GCF number.
So the greatest common factor 591,6963 is 3.
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 6310/591, 6352/6963?
Answer: LCM of Numerators as per given numbers 6310/591, 6352/6963 is
LCM of Numerators i.e. for 6310,6352 is 20040560
GCF of denominators i.e. for 591,6963 is 3.
Thus, LCM of Fractions is 20040560/3.Finally, LCM of Fractions for 6310/591, 6352/6963 is 20040560/3.