Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2022/128, 2113/431 quickly i.e. 4272486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2022/128, 2113/431 is 4272486.
LCM(2022/128, 2113/431) = 4272486
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2022/128,2113/431
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 2022,2113
Least Common Multiple of Numerators i.e. LCM of 2022,2113 is 4272486.
GCF of Denominators means GCF of 128,431 as per the given fractions.
GCF of 128,431 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2022,2113
Given numbers has no common factors except 1. So, there LCM is their product i.e 4272486
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 2022,2113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2022,2113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2022,2113) x common factors =1 x 1 = 1
LCM(2022,2113) = ( 2022 × 2113 ) / 1
LCM(2022,2113) = 4272486 / 1
LCM(2022,2113) = 4272486
Lets's calculate GCF of 128,431
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4272486/1
Therefore the LCM of Fractions 2022/128,2113/431 is 4272486
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Greatest Common Factor
We found the factors 128,431 . The biggest common factor number is the GCF number.
So the greatest common factor 128,431 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 2022/128, 2113/431?
Answer: LCM of Numerators as per given numbers 2022/128, 2113/431 is
LCM of Numerators i.e. for 2022,2113 is 4272486
GCF of denominators i.e. for 128,431 is 1.
Thus, LCM of Fractions is 4272486.Finally, LCM of Fractions for 2022/128, 2113/431 is 4272486.