Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9097/387, 9816/2579 quickly i.e. 89296152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9097/387, 9816/2579 is 89296152.
LCM(9097/387, 9816/2579) = 89296152
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9097/387,9816/2579
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 9097,9816
Least Common Multiple of Numerators i.e. LCM of 9097,9816 is 89296152.
GCF of Denominators means GCF of 387,2579 as per the given fractions.
GCF of 387,2579 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9097,9816
Given numbers has no common factors except 1. So, there LCM is their product i.e 89296152
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 9097,9816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9097,9816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9097,9816) x common factors =1 x 1 = 1
LCM(9097,9816) = ( 9097 × 9816 ) / 1
LCM(9097,9816) = 89296152 / 1
LCM(9097,9816) = 89296152
Lets's calculate GCF of 387,2579
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89296152/1
Therefore the LCM of Fractions 9097/387,9816/2579 is 89296152
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 2579
List of positive integer factors of 2579 that divides 2579 without a remainder.
1,2579
Greatest Common Factor
We found the factors 387,2579 . The biggest common factor number is the GCF number.
So the greatest common factor 387,2579 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 9097/387, 9816/2579?
Answer: LCM of Numerators as per given numbers 9097/387, 9816/2579 is
LCM of Numerators i.e. for 9097,9816 is 89296152
GCF of denominators i.e. for 387,2579 is 1.
Thus, LCM of Fractions is 89296152.Finally, LCM of Fractions for 9097/387, 9816/2579 is 89296152.