Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4676/531, 2359/963 quickly i.e. 1575812/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4676/531, 2359/963 is 1575812/9.
LCM(4676/531, 2359/963) = 1575812/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4676/531,2359/963
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 4676,2359
Least Common Multiple of Numerators i.e. LCM of 4676,2359 is 1575812.
GCF of Denominators means GCF of 531,963 as per the given fractions.
GCF of 531,963 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4676,2359
7 | 4676, 2359 |
668, 337 |
∴ So the LCM of the given numbers is 7 x 668 x 337 = 1575812
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 4676,2359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4676,2359) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(4676,2359) x common factors =7 x 1 = 7
LCM(4676,2359) = ( 4676 × 2359 ) / 7
LCM(4676,2359) = 11030684 / 7
LCM(4676,2359) = 1575812
Lets's calculate GCF of 531,963
3 | 531, 963 |
3 | 177, 321 |
59, 107 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1575812/9
Therefore the LCM of Fractions 4676/531,2359/963 is 1575812/9
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Greatest Common Factor
We found the factors 531,963 . The biggest common factor number is the GCF number.
So the greatest common factor 531,963 is 9.
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 4676/531, 2359/963?
Answer: LCM of Numerators as per given numbers 4676/531, 2359/963 is
LCM of Numerators i.e. for 4676,2359 is 1575812
GCF of denominators i.e. for 531,963 is 9.
Thus, LCM of Fractions is 1575812/9.Finally, LCM of Fractions for 4676/531, 2359/963 is 1575812/9.