Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 397/141, 2041/283 quickly i.e. 810277 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 397/141, 2041/283 is 810277.
LCM(397/141, 2041/283) = 810277
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 397/141,2041/283
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 397,2041
Least Common Multiple of Numerators i.e. LCM of 397,2041 is 810277.
GCF of Denominators means GCF of 141,283 as per the given fractions.
GCF of 141,283 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 397,2041
Given numbers has no common factors except 1. So, there LCM is their product i.e 810277
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 397,2041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,2041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,2041) x common factors =1 x 1 = 1
LCM(397,2041) = ( 397 × 2041 ) / 1
LCM(397,2041) = 810277 / 1
LCM(397,2041) = 810277
Lets's calculate GCF of 141,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 810277/1
Therefore the LCM of Fractions 397/141,2041/283 is 810277
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 141,283 . The biggest common factor number is the GCF number.
So the greatest common factor 141,283 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 397/141, 2041/283?
Answer: LCM of Numerators as per given numbers 397/141, 2041/283 is
LCM of Numerators i.e. for 397,2041 is 810277
GCF of denominators i.e. for 141,283 is 1.
Thus, LCM of Fractions is 810277.Finally, LCM of Fractions for 397/141, 2041/283 is 810277.