Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 181/20, 678/2829 quickly i.e. 122718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 181/20, 678/2829 is 122718.
LCM(181/20, 678/2829) = 122718
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 181/20,678/2829
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 181,678
Least Common Multiple of Numerators i.e. LCM of 181,678 is 122718.
GCF of Denominators means GCF of 20,2829 as per the given fractions.
GCF of 20,2829 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 181,678
Given numbers has no common factors except 1. So, there LCM is their product i.e 122718
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 181,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,678) x common factors =1 x 1 = 1
LCM(181,678) = ( 181 × 678 ) / 1
LCM(181,678) = 122718 / 1
LCM(181,678) = 122718
Lets's calculate GCF of 20,2829
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122718/1
Therefore the LCM of Fractions 181/20,678/2829 is 122718
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 2829
List of positive integer factors of 2829 that divides 2829 without a remainder.
1,3,23,41,69,123,943,2829
Greatest Common Factor
We found the factors 20,2829 . The biggest common factor number is the GCF number.
So the greatest common factor 20,2829 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 181/20, 678/2829?
Answer: LCM of Numerators as per given numbers 181/20, 678/2829 is
LCM of Numerators i.e. for 181,678 is 122718
GCF of denominators i.e. for 20,2829 is 1.
Thus, LCM of Fractions is 122718.Finally, LCM of Fractions for 181/20, 678/2829 is 122718.