Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 469/39, 891/13, 181/655 quickly i.e. 75636099 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 469/39, 891/13, 181/655 is 75636099.
LCM(469/39, 891/13, 181/655) = 75636099
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 469/39,891/13,181/655
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 469,891,181
Least Common Multiple of Numerators i.e. LCM of 469,891,181 is 75636099.
GCF of Denominators means GCF of 39,13,655 as per the given fractions.
GCF of 39,13,655 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 469,891,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 75636099
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 469,891,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,891,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,891,181) x common factors =1 x 1 = 1
LCM(469,891,181) = ( 469 × 891 × 181 ) / 1
LCM(469,891,181) = 75636099 / 1
LCM(469,891,181) = 75636099
Lets's calculate GCF of 39,13,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75636099/1
Therefore the LCM of Fractions 469/39,891/13,181/655 is 75636099
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Greatest Common Factor
We found the factors 39,13,655 . The biggest common factor number is the GCF number.
So the greatest common factor 39,13,655 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 469/39, 891/13, 181/655?
Answer: LCM of Numerators as per given numbers 469/39, 891/13, 181/655 is
LCM of Numerators i.e. for 469,891,181 is 75636099
GCF of denominators i.e. for 39,13,655 is 1.
Thus, LCM of Fractions is 75636099.Finally, LCM of Fractions for 469/39, 891/13, 181/655 is 75636099.