Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5395/209, 9671/2176 quickly i.e. 52175045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5395/209, 9671/2176 is 52175045.
LCM(5395/209, 9671/2176) = 52175045
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5395/209,9671/2176
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 5395,9671
Least Common Multiple of Numerators i.e. LCM of 5395,9671 is 52175045.
GCF of Denominators means GCF of 209,2176 as per the given fractions.
GCF of 209,2176 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5395,9671
Given numbers has no common factors except 1. So, there LCM is their product i.e 52175045
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 5395,9671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5395,9671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5395,9671) x common factors =1 x 1 = 1
LCM(5395,9671) = ( 5395 × 9671 ) / 1
LCM(5395,9671) = 52175045 / 1
LCM(5395,9671) = 52175045
Lets's calculate GCF of 209,2176
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52175045/1
Therefore the LCM of Fractions 5395/209,9671/2176 is 52175045
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 2176
List of positive integer factors of 2176 that divides 2176 without a remainder.
1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176
Greatest Common Factor
We found the factors 209,2176 . The biggest common factor number is the GCF number.
So the greatest common factor 209,2176 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 5395/209, 9671/2176?
Answer: LCM of Numerators as per given numbers 5395/209, 9671/2176 is
LCM of Numerators i.e. for 5395,9671 is 52175045
GCF of denominators i.e. for 209,2176 is 1.
Thus, LCM of Fractions is 52175045.Finally, LCM of Fractions for 5395/209, 9671/2176 is 52175045.