Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 337/174, 899/203, 860/684 quickly i.e. 260548180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 337/174, 899/203, 860/684 is 260548180.
LCM(337/174, 899/203, 860/684) = 260548180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 337/174,899/203,860/684
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 337,899,860
Least Common Multiple of Numerators i.e. LCM of 337,899,860 is 260548180.
GCF of Denominators means GCF of 174,203,684 as per the given fractions.
GCF of 174,203,684 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 337,899,860
Given numbers has no common factors except 1. So, there LCM is their product i.e 260548180
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 337,899,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,899,860) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,899,860) x common factors =1 x 1 = 1
LCM(337,899,860) = ( 337 × 899 × 860 ) / 1
LCM(337,899,860) = 260548180 / 1
LCM(337,899,860) = 260548180
Lets's calculate GCF of 174,203,684
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260548180/1
Therefore the LCM of Fractions 337/174,899/203,860/684 is 260548180
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Greatest Common Factor
We found the factors 174,203,684 . The biggest common factor number is the GCF number.
So the greatest common factor 174,203,684 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 337/174, 899/203, 860/684?
Answer: LCM of Numerators as per given numbers 337/174, 899/203, 860/684 is
LCM of Numerators i.e. for 337,899,860 is 260548180
GCF of denominators i.e. for 174,203,684 is 1.
Thus, LCM of Fractions is 260548180.Finally, LCM of Fractions for 337/174, 899/203, 860/684 is 260548180.