Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 284/19, 431/2118 quickly i.e. 122404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 284/19, 431/2118 is 122404.
LCM(284/19, 431/2118) = 122404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 284/19,431/2118
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 284,431
Least Common Multiple of Numerators i.e. LCM of 284,431 is 122404.
GCF of Denominators means GCF of 19,2118 as per the given fractions.
GCF of 19,2118 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 284,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 122404
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 284,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,431) x common factors =1 x 1 = 1
LCM(284,431) = ( 284 × 431 ) / 1
LCM(284,431) = 122404 / 1
LCM(284,431) = 122404
Lets's calculate GCF of 19,2118
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122404/1
Therefore the LCM of Fractions 284/19,431/2118 is 122404
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 2118
List of positive integer factors of 2118 that divides 2118 without a remainder.
1,2,3,6,353,706,1059,2118
Greatest Common Factor
We found the factors 19,2118 . The biggest common factor number is the GCF number.
So the greatest common factor 19,2118 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 284/19, 431/2118?
Answer: LCM of Numerators as per given numbers 284/19, 431/2118 is
LCM of Numerators i.e. for 284,431 is 122404
GCF of denominators i.e. for 19,2118 is 1.
Thus, LCM of Fractions is 122404.Finally, LCM of Fractions for 284/19, 431/2118 is 122404.