Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2473/857, 6467/609 quickly i.e. 15992891 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2473/857, 6467/609 is 15992891.
LCM(2473/857, 6467/609) = 15992891
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2473/857,6467/609
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 2473,6467
Least Common Multiple of Numerators i.e. LCM of 2473,6467 is 15992891.
GCF of Denominators means GCF of 857,609 as per the given fractions.
GCF of 857,609 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2473,6467
Given numbers has no common factors except 1. So, there LCM is their product i.e 15992891
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 2473,6467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2473,6467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2473,6467) x common factors =1 x 1 = 1
LCM(2473,6467) = ( 2473 × 6467 ) / 1
LCM(2473,6467) = 15992891 / 1
LCM(2473,6467) = 15992891
Lets's calculate GCF of 857,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15992891/1
Therefore the LCM of Fractions 2473/857,6467/609 is 15992891
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 857,609 . The biggest common factor number is the GCF number.
So the greatest common factor 857,609 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 2473/857, 6467/609?
Answer: LCM of Numerators as per given numbers 2473/857, 6467/609 is
LCM of Numerators i.e. for 2473,6467 is 15992891
GCF of denominators i.e. for 857,609 is 1.
Thus, LCM of Fractions is 15992891.Finally, LCM of Fractions for 2473/857, 6467/609 is 15992891.