Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7161/468, 4329/129 quickly i.e. 3444441 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7161/468, 4329/129 is 3444441.
LCM(7161/468, 4329/129) = 3444441
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7161/468,4329/129
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 7161,4329
Least Common Multiple of Numerators i.e. LCM of 7161,4329 is 10333323.
GCF of Denominators means GCF of 468,129 as per the given fractions.
GCF of 468,129 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7161,4329
3 | 7161, 4329 |
2387, 1443 |
∴ So the LCM of the given numbers is 3 x 2387 x 1443 = 10333323
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 7161,4329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7161,4329) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7161,4329) x common factors =3 x 1 = 3
LCM(7161,4329) = ( 7161 × 4329 ) / 3
LCM(7161,4329) = 30999969 / 3
LCM(7161,4329) = 10333323
Lets's calculate GCF of 468,129
3 | 468, 129 |
156, 43 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10333323/3
Therefore the LCM of Fractions 7161/468,4329/129 is 3444441
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Greatest Common Factor
We found the factors 468,129 . The biggest common factor number is the GCF number.
So the greatest common factor 468,129 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 7161/468, 4329/129?
Answer: LCM of Numerators as per given numbers 7161/468, 4329/129 is
LCM of Numerators i.e. for 7161,4329 is 10333323
GCF of denominators i.e. for 468,129 is 3.
Thus, LCM of Fractions is 3444441.Finally, LCM of Fractions for 7161/468, 4329/129 is 3444441.