Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8476/919, 6947/366 quickly i.e. 58882772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8476/919, 6947/366 is 58882772.
LCM(8476/919, 6947/366) = 58882772
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8476/919,6947/366
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 8476,6947
Least Common Multiple of Numerators i.e. LCM of 8476,6947 is 58882772.
GCF of Denominators means GCF of 919,366 as per the given fractions.
GCF of 919,366 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8476,6947
Given numbers has no common factors except 1. So, there LCM is their product i.e 58882772
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 8476,6947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8476,6947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8476,6947) x common factors =1 x 1 = 1
LCM(8476,6947) = ( 8476 × 6947 ) / 1
LCM(8476,6947) = 58882772 / 1
LCM(8476,6947) = 58882772
Lets's calculate GCF of 919,366
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58882772/1
Therefore the LCM of Fractions 8476/919,6947/366 is 58882772
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors 919,366 . The biggest common factor number is the GCF number.
So the greatest common factor 919,366 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 8476/919, 6947/366?
Answer: LCM of Numerators as per given numbers 8476/919, 6947/366 is
LCM of Numerators i.e. for 8476,6947 is 58882772
GCF of denominators i.e. for 919,366 is 1.
Thus, LCM of Fractions is 58882772.Finally, LCM of Fractions for 8476/919, 6947/366 is 58882772.