Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 313/26, 806/4609 quickly i.e. 252278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 313/26, 806/4609 is 252278.
LCM(313/26, 806/4609) = 252278
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 313/26,806/4609
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 313,806
Least Common Multiple of Numerators i.e. LCM of 313,806 is 252278.
GCF of Denominators means GCF of 26,4609 as per the given fractions.
GCF of 26,4609 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 313,806
Given numbers has no common factors except 1. So, there LCM is their product i.e 252278
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 313,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,806) x common factors =1 x 1 = 1
LCM(313,806) = ( 313 × 806 ) / 1
LCM(313,806) = 252278 / 1
LCM(313,806) = 252278
Lets's calculate GCF of 26,4609
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252278/1
Therefore the LCM of Fractions 313/26,806/4609 is 252278
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 4609
List of positive integer factors of 4609 that divides 4609 without a remainder.
1,11,419,4609
Greatest Common Factor
We found the factors 26,4609 . The biggest common factor number is the GCF number.
So the greatest common factor 26,4609 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 313/26, 806/4609?
Answer: LCM of Numerators as per given numbers 313/26, 806/4609 is
LCM of Numerators i.e. for 313,806 is 252278
GCF of denominators i.e. for 26,4609 is 1.
Thus, LCM of Fractions is 252278.Finally, LCM of Fractions for 313/26, 806/4609 is 252278.