Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3474/129, 7811/183 quickly i.e. 9045138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3474/129, 7811/183 is 9045138.
LCM(3474/129, 7811/183) = 9045138
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3474/129,7811/183
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 3474,7811
Least Common Multiple of Numerators i.e. LCM of 3474,7811 is 27135414.
GCF of Denominators means GCF of 129,183 as per the given fractions.
GCF of 129,183 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3474,7811
Given numbers has no common factors except 1. So, there LCM is their product i.e 27135414
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 3474,7811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3474,7811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3474,7811) x common factors =1 x 1 = 1
LCM(3474,7811) = ( 3474 × 7811 ) / 1
LCM(3474,7811) = 27135414 / 1
LCM(3474,7811) = 27135414
Lets's calculate GCF of 129,183
3 | 129, 183 |
43, 61 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27135414/3
Therefore the LCM of Fractions 3474/129,7811/183 is 9045138
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Greatest Common Factor
We found the factors 129,183 . The biggest common factor number is the GCF number.
So the greatest common factor 129,183 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 3474/129, 7811/183?
Answer: LCM of Numerators as per given numbers 3474/129, 7811/183 is
LCM of Numerators i.e. for 3474,7811 is 27135414
GCF of denominators i.e. for 129,183 is 3.
Thus, LCM of Fractions is 9045138.Finally, LCM of Fractions for 3474/129, 7811/183 is 9045138.