Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8153/231, 5632/9547 quickly i.e. 45917696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8153/231, 5632/9547 is 45917696.
LCM(8153/231, 5632/9547) = 45917696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8153/231,5632/9547
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 8153,5632
Least Common Multiple of Numerators i.e. LCM of 8153,5632 is 45917696.
GCF of Denominators means GCF of 231,9547 as per the given fractions.
GCF of 231,9547 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8153,5632
Given numbers has no common factors except 1. So, there LCM is their product i.e 45917696
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 8153,5632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8153,5632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8153,5632) x common factors =1 x 1 = 1
LCM(8153,5632) = ( 8153 × 5632 ) / 1
LCM(8153,5632) = 45917696 / 1
LCM(8153,5632) = 45917696
Lets's calculate GCF of 231,9547
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45917696/1
Therefore the LCM of Fractions 8153/231,5632/9547 is 45917696
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 9547
List of positive integer factors of 9547 that divides 9547 without a remainder.
1,9547
Greatest Common Factor
We found the factors 231,9547 . The biggest common factor number is the GCF number.
So the greatest common factor 231,9547 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 8153/231, 5632/9547?
Answer: LCM of Numerators as per given numbers 8153/231, 5632/9547 is
LCM of Numerators i.e. for 8153,5632 is 45917696
GCF of denominators i.e. for 231,9547 is 1.
Thus, LCM of Fractions is 45917696.Finally, LCM of Fractions for 8153/231, 5632/9547 is 45917696.