Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8947/350, 9129/4647 quickly i.e. 81677163 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8947/350, 9129/4647 is 81677163.
LCM(8947/350, 9129/4647) = 81677163
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8947/350,9129/4647
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 8947,9129
Least Common Multiple of Numerators i.e. LCM of 8947,9129 is 81677163.
GCF of Denominators means GCF of 350,4647 as per the given fractions.
GCF of 350,4647 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8947,9129
Given numbers has no common factors except 1. So, there LCM is their product i.e 81677163
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 8947,9129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8947,9129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8947,9129) x common factors =1 x 1 = 1
LCM(8947,9129) = ( 8947 × 9129 ) / 1
LCM(8947,9129) = 81677163 / 1
LCM(8947,9129) = 81677163
Lets's calculate GCF of 350,4647
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81677163/1
Therefore the LCM of Fractions 8947/350,9129/4647 is 81677163
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 4647
List of positive integer factors of 4647 that divides 4647 without a remainder.
1,3,1549,4647
Greatest Common Factor
We found the factors 350,4647 . The biggest common factor number is the GCF number.
So the greatest common factor 350,4647 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 8947/350, 9129/4647?
Answer: LCM of Numerators as per given numbers 8947/350, 9129/4647 is
LCM of Numerators i.e. for 8947,9129 is 81677163
GCF of denominators i.e. for 350,4647 is 1.
Thus, LCM of Fractions is 81677163.Finally, LCM of Fractions for 8947/350, 9129/4647 is 81677163.