Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8829/129, 3132/5423 quickly i.e. 1024164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8829/129, 3132/5423 is 1024164.
LCM(8829/129, 3132/5423) = 1024164
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8829/129,3132/5423
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 8829,3132
Least Common Multiple of Numerators i.e. LCM of 8829,3132 is 1024164.
GCF of Denominators means GCF of 129,5423 as per the given fractions.
GCF of 129,5423 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8829,3132
3 | 8829, 3132 |
3 | 2943, 1044 |
3 | 981, 348 |
327, 116 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 327 x 116 = 1024164
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 8829,3132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8829,3132) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(8829,3132) x common factors =27 x 1 = 27
LCM(8829,3132) = ( 8829 × 3132 ) / 27
LCM(8829,3132) = 27652428 / 27
LCM(8829,3132) = 1024164
Lets's calculate GCF of 129,5423
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1024164/1
Therefore the LCM of Fractions 8829/129,3132/5423 is 1024164
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 5423
List of positive integer factors of 5423 that divides 5423 without a remainder.
1,11,17,29,187,319,493,5423
Greatest Common Factor
We found the factors 129,5423 . The biggest common factor number is the GCF number.
So the greatest common factor 129,5423 is 1.
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 8829/129, 3132/5423?
Answer: LCM of Numerators as per given numbers 8829/129, 3132/5423 is
LCM of Numerators i.e. for 8829,3132 is 1024164
GCF of denominators i.e. for 129,5423 is 1.
Thus, LCM of Fractions is 1024164.Finally, LCM of Fractions for 8829/129, 3132/5423 is 1024164.