Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 334/82, 673/1761 quickly i.e. 224782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 334/82, 673/1761 is 224782.
LCM(334/82, 673/1761) = 224782
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 334/82,673/1761
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 334,673
Least Common Multiple of Numerators i.e. LCM of 334,673 is 224782.
GCF of Denominators means GCF of 82,1761 as per the given fractions.
GCF of 82,1761 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 334,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 224782
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 334,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,673) x common factors =1 x 1 = 1
LCM(334,673) = ( 334 × 673 ) / 1
LCM(334,673) = 224782 / 1
LCM(334,673) = 224782
Lets's calculate GCF of 82,1761
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224782/1
Therefore the LCM of Fractions 334/82,673/1761 is 224782
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 1761
List of positive integer factors of 1761 that divides 1761 without a remainder.
1,3,587,1761
Greatest Common Factor
We found the factors 82,1761 . The biggest common factor number is the GCF number.
So the greatest common factor 82,1761 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 334/82, 673/1761?
Answer: LCM of Numerators as per given numbers 334/82, 673/1761 is
LCM of Numerators i.e. for 334,673 is 224782
GCF of denominators i.e. for 82,1761 is 1.
Thus, LCM of Fractions is 224782.Finally, LCM of Fractions for 334/82, 673/1761 is 224782.