Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2593/968, 7074/9229 quickly i.e. 18342882/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2593/968, 7074/9229 is 18342882/11.
LCM(2593/968, 7074/9229) = 18342882/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2593/968,7074/9229
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 2593,7074
Least Common Multiple of Numerators i.e. LCM of 2593,7074 is 18342882.
GCF of Denominators means GCF of 968,9229 as per the given fractions.
GCF of 968,9229 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2593,7074
Given numbers has no common factors except 1. So, there LCM is their product i.e 18342882
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 2593,7074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2593,7074) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2593,7074) x common factors =1 x 1 = 1
LCM(2593,7074) = ( 2593 × 7074 ) / 1
LCM(2593,7074) = 18342882 / 1
LCM(2593,7074) = 18342882
Lets's calculate GCF of 968,9229
11 | 968, 9229 |
88, 839 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18342882/11
Therefore the LCM of Fractions 2593/968,7074/9229 is 18342882/11
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Factors of 9229
List of positive integer factors of 9229 that divides 9229 without a remainder.
1,11,839,9229
Greatest Common Factor
We found the factors 968,9229 . The biggest common factor number is the GCF number.
So the greatest common factor 968,9229 is 11.
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 2593/968, 7074/9229?
Answer: LCM of Numerators as per given numbers 2593/968, 7074/9229 is
LCM of Numerators i.e. for 2593,7074 is 18342882
GCF of denominators i.e. for 968,9229 is 11.
Thus, LCM of Fractions is 18342882/11.Finally, LCM of Fractions for 2593/968, 7074/9229 is 18342882/11.