Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 858/327, 1679/618 quickly i.e. 480194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 858/327, 1679/618 is 480194.
LCM(858/327, 1679/618) = 480194
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 858/327,1679/618
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 858,1679
Least Common Multiple of Numerators i.e. LCM of 858,1679 is 1440582.
GCF of Denominators means GCF of 327,618 as per the given fractions.
GCF of 327,618 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 858,1679
Given numbers has no common factors except 1. So, there LCM is their product i.e 1440582
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 858,1679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,1679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(858,1679) x common factors =1 x 1 = 1
LCM(858,1679) = ( 858 × 1679 ) / 1
LCM(858,1679) = 1440582 / 1
LCM(858,1679) = 1440582
Lets's calculate GCF of 327,618
3 | 327, 618 |
109, 206 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1440582/3
Therefore the LCM of Fractions 858/327,1679/618 is 480194
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 327,618 . The biggest common factor number is the GCF number.
So the greatest common factor 327,618 is 3.
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 858/327, 1679/618?
Answer: LCM of Numerators as per given numbers 858/327, 1679/618 is
LCM of Numerators i.e. for 858,1679 is 1440582
GCF of denominators i.e. for 327,618 is 3.
Thus, LCM of Fractions is 480194.Finally, LCM of Fractions for 858/327, 1679/618 is 480194.