Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 674/477, 1909/6724 quickly i.e. 1286666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 674/477, 1909/6724 is 1286666.
LCM(674/477, 1909/6724) = 1286666
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 674/477,1909/6724
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 674,1909
Least Common Multiple of Numerators i.e. LCM of 674,1909 is 1286666.
GCF of Denominators means GCF of 477,6724 as per the given fractions.
GCF of 477,6724 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 674,1909
Given numbers has no common factors except 1. So, there LCM is their product i.e 1286666
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 674,1909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,1909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(674,1909) x common factors =1 x 1 = 1
LCM(674,1909) = ( 674 × 1909 ) / 1
LCM(674,1909) = 1286666 / 1
LCM(674,1909) = 1286666
Lets's calculate GCF of 477,6724
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1286666/1
Therefore the LCM of Fractions 674/477,1909/6724 is 1286666
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 6724
List of positive integer factors of 6724 that divides 6724 without a remainder.
1,2,4,41,82,164,1681,3362,6724
Greatest Common Factor
We found the factors 477,6724 . The biggest common factor number is the GCF number.
So the greatest common factor 477,6724 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 674/477, 1909/6724?
Answer: LCM of Numerators as per given numbers 674/477, 1909/6724 is
LCM of Numerators i.e. for 674,1909 is 1286666
GCF of denominators i.e. for 477,6724 is 1.
Thus, LCM of Fractions is 1286666.Finally, LCM of Fractions for 674/477, 1909/6724 is 1286666.