Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 897/455, 868/718, 439/242 quickly i.e. 341803644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 897/455, 868/718, 439/242 is 341803644.
LCM(897/455, 868/718, 439/242) = 341803644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 897/455,868/718,439/242
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 897,868,439
Least Common Multiple of Numerators i.e. LCM of 897,868,439 is 341803644.
GCF of Denominators means GCF of 455,718,242 as per the given fractions.
GCF of 455,718,242 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 897,868,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 341803644
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 897,868,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,868,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,868,439) x common factors =1 x 1 = 1
LCM(897,868,439) = ( 897 × 868 × 439 ) / 1
LCM(897,868,439) = 341803644 / 1
LCM(897,868,439) = 341803644
Lets's calculate GCF of 455,718,242
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341803644/1
Therefore the LCM of Fractions 897/455,868/718,439/242 is 341803644
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Greatest Common Factor
We found the factors 455,718,242 . The biggest common factor number is the GCF number.
So the greatest common factor 455,718,242 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 897/455, 868/718, 439/242?
Answer: LCM of Numerators as per given numbers 897/455, 868/718, 439/242 is
LCM of Numerators i.e. for 897,868,439 is 341803644
GCF of denominators i.e. for 455,718,242 is 1.
Thus, LCM of Fractions is 341803644.Finally, LCM of Fractions for 897/455, 868/718, 439/242 is 341803644.