Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4296/895, 9551/7195 quickly i.e. 41031096/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4296/895, 9551/7195 is 41031096/5.
LCM(4296/895, 9551/7195) = 41031096/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4296/895,9551/7195
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 4296,9551
Least Common Multiple of Numerators i.e. LCM of 4296,9551 is 41031096.
GCF of Denominators means GCF of 895,7195 as per the given fractions.
GCF of 895,7195 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4296,9551
Given numbers has no common factors except 1. So, there LCM is their product i.e 41031096
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 4296,9551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4296,9551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4296,9551) x common factors =1 x 1 = 1
LCM(4296,9551) = ( 4296 × 9551 ) / 1
LCM(4296,9551) = 41031096 / 1
LCM(4296,9551) = 41031096
Lets's calculate GCF of 895,7195
5 | 895, 7195 |
179, 1439 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41031096/5
Therefore the LCM of Fractions 4296/895,9551/7195 is 41031096/5
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Factors of 7195
List of positive integer factors of 7195 that divides 7195 without a remainder.
1,5,1439,7195
Greatest Common Factor
We found the factors 895,7195 . The biggest common factor number is the GCF number.
So the greatest common factor 895,7195 is 5.
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 4296/895, 9551/7195?
Answer: LCM of Numerators as per given numbers 4296/895, 9551/7195 is
LCM of Numerators i.e. for 4296,9551 is 41031096
GCF of denominators i.e. for 895,7195 is 5.
Thus, LCM of Fractions is 41031096/5.Finally, LCM of Fractions for 4296/895, 9551/7195 is 41031096/5.