Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9601/867, 2895/4718 quickly i.e. 27794895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9601/867, 2895/4718 is 27794895.
LCM(9601/867, 2895/4718) = 27794895
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9601/867,2895/4718
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 9601,2895
Least Common Multiple of Numerators i.e. LCM of 9601,2895 is 27794895.
GCF of Denominators means GCF of 867,4718 as per the given fractions.
GCF of 867,4718 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9601,2895
Given numbers has no common factors except 1. So, there LCM is their product i.e 27794895
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 9601,2895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9601,2895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9601,2895) x common factors =1 x 1 = 1
LCM(9601,2895) = ( 9601 × 2895 ) / 1
LCM(9601,2895) = 27794895 / 1
LCM(9601,2895) = 27794895
Lets's calculate GCF of 867,4718
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27794895/1
Therefore the LCM of Fractions 9601/867,2895/4718 is 27794895
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 4718
List of positive integer factors of 4718 that divides 4718 without a remainder.
1,2,7,14,337,674,2359,4718
Greatest Common Factor
We found the factors 867,4718 . The biggest common factor number is the GCF number.
So the greatest common factor 867,4718 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 9601/867, 2895/4718?
Answer: LCM of Numerators as per given numbers 9601/867, 2895/4718 is
LCM of Numerators i.e. for 9601,2895 is 27794895
GCF of denominators i.e. for 867,4718 is 1.
Thus, LCM of Fractions is 27794895.Finally, LCM of Fractions for 9601/867, 2895/4718 is 27794895.