Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 259/685, 7674/3206 quickly i.e. 1987566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 259/685, 7674/3206 is 1987566.
LCM(259/685, 7674/3206) = 1987566
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 259/685,7674/3206
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 259,7674
Least Common Multiple of Numerators i.e. LCM of 259,7674 is 1987566.
GCF of Denominators means GCF of 685,3206 as per the given fractions.
GCF of 685,3206 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 259,7674
Given numbers has no common factors except 1. So, there LCM is their product i.e 1987566
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 259,7674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,7674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,7674) x common factors =1 x 1 = 1
LCM(259,7674) = ( 259 × 7674 ) / 1
LCM(259,7674) = 1987566 / 1
LCM(259,7674) = 1987566
Lets's calculate GCF of 685,3206
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1987566/1
Therefore the LCM of Fractions 259/685,7674/3206 is 1987566
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 3206
List of positive integer factors of 3206 that divides 3206 without a remainder.
1,2,7,14,229,458,1603,3206
Greatest Common Factor
We found the factors 685,3206 . The biggest common factor number is the GCF number.
So the greatest common factor 685,3206 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 259/685, 7674/3206?
Answer: LCM of Numerators as per given numbers 259/685, 7674/3206 is
LCM of Numerators i.e. for 259,7674 is 1987566
GCF of denominators i.e. for 685,3206 is 1.
Thus, LCM of Fractions is 1987566.Finally, LCM of Fractions for 259/685, 7674/3206 is 1987566.