Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 231/963, 2912/642 quickly i.e. 96096/321 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 231/963, 2912/642 is 96096/321.
LCM(231/963, 2912/642) = 96096/321
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 231/963,2912/642
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 231,2912
Least Common Multiple of Numerators i.e. LCM of 231,2912 is 96096.
GCF of Denominators means GCF of 963,642 as per the given fractions.
GCF of 963,642 is 321 as it is the largest common factor for these numbers.
Lets's calculate LCM of 231,2912
7 | 231, 2912 |
33, 416 |
∴ So the LCM of the given numbers is 7 x 33 x 416 = 96096
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 231,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,2912) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(231,2912) x common factors =7 x 1 = 7
LCM(231,2912) = ( 231 × 2912 ) / 7
LCM(231,2912) = 672672 / 7
LCM(231,2912) = 96096
Lets's calculate GCF of 963,642
3 | 963, 642 |
107 | 321, 214 |
3, 2 |
∴ So the GCF of the given numbers is 3 x 107 = 321
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96096/321
Therefore the LCM of Fractions 231/963,2912/642 is 96096/321
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 963,642 . The biggest common factor number is the GCF number.
So the greatest common factor 963,642 is 321.
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 231/963, 2912/642?
Answer: LCM of Numerators as per given numbers 231/963, 2912/642 is
LCM of Numerators i.e. for 231,2912 is 96096
GCF of denominators i.e. for 963,642 is 321.
Thus, LCM of Fractions is 96096/321.Finally, LCM of Fractions for 231/963, 2912/642 is 96096/321.