Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1563/609, 7676/6418 quickly i.e. 11997588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1563/609, 7676/6418 is 11997588.
LCM(1563/609, 7676/6418) = 11997588
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1563/609,7676/6418
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 1563,7676
Least Common Multiple of Numerators i.e. LCM of 1563,7676 is 11997588.
GCF of Denominators means GCF of 609,6418 as per the given fractions.
GCF of 609,6418 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1563,7676
Given numbers has no common factors except 1. So, there LCM is their product i.e 11997588
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 1563,7676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1563,7676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1563,7676) x common factors =1 x 1 = 1
LCM(1563,7676) = ( 1563 × 7676 ) / 1
LCM(1563,7676) = 11997588 / 1
LCM(1563,7676) = 11997588
Lets's calculate GCF of 609,6418
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11997588/1
Therefore the LCM of Fractions 1563/609,7676/6418 is 11997588
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 6418
List of positive integer factors of 6418 that divides 6418 without a remainder.
1,2,3209,6418
Greatest Common Factor
We found the factors 609,6418 . The biggest common factor number is the GCF number.
So the greatest common factor 609,6418 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 1563/609, 7676/6418?
Answer: LCM of Numerators as per given numbers 1563/609, 7676/6418 is
LCM of Numerators i.e. for 1563,7676 is 11997588
GCF of denominators i.e. for 609,6418 is 1.
Thus, LCM of Fractions is 11997588.Finally, LCM of Fractions for 1563/609, 7676/6418 is 11997588.