Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/873, 27/972, 591/789 quickly i.e. 12411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/873, 27/972, 591/789 is 12411.
LCM(63/873, 27/972, 591/789) = 12411
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/873,27/972,591/789
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 63,27,591
Least Common Multiple of Numerators i.e. LCM of 63,27,591 is 37233.
GCF of Denominators means GCF of 873,972,789 as per the given fractions.
GCF of 873,972,789 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,27,591
3 | 63, 27, 591 |
3 | 21, 9, 197 |
7, 3, 197 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 3 x 197 = 37233
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 63,27,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,27,591) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(63,27,591) x common factors =3 x 9 = 27
LCM(63,27,591) = ( 63 × 27 × 591 ) / 27
LCM(63,27,591) = 1005291 / 27
LCM(63,27,591) = 37233
Lets's calculate GCF of 873,972,789
3 | 873, 972, 789 |
291, 324, 263 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37233/3
Therefore the LCM of Fractions 63/873,27/972,591/789 is 12411
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors 873,972,789 . The biggest common factor number is the GCF number.
So the greatest common factor 873,972,789 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 63/873, 27/972, 591/789?
Answer: LCM of Numerators as per given numbers 63/873, 27/972, 591/789 is
LCM of Numerators i.e. for 63,27,591 is 37233
GCF of denominators i.e. for 873,972,789 is 3.
Thus, LCM of Fractions is 12411.Finally, LCM of Fractions for 63/873, 27/972, 591/789 is 12411.