Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/296, 2579/5930 quickly i.e. 23211 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/296, 2579/5930 is 23211.
LCM(18/296, 2579/5930) = 23211
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/296,2579/5930
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 18,2579
Least Common Multiple of Numerators i.e. LCM of 18,2579 is 46422.
GCF of Denominators means GCF of 296,5930 as per the given fractions.
GCF of 296,5930 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,2579
Given numbers has no common factors except 1. So, there LCM is their product i.e 46422
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 18,2579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,2579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,2579) x common factors =1 x 1 = 1
LCM(18,2579) = ( 18 × 2579 ) / 1
LCM(18,2579) = 46422 / 1
LCM(18,2579) = 46422
Lets's calculate GCF of 296,5930
2 | 296, 5930 |
148, 2965 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46422/2
Therefore the LCM of Fractions 18/296,2579/5930 is 23211
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 5930
List of positive integer factors of 5930 that divides 5930 without a remainder.
1,2,5,10,593,1186,2965,5930
Greatest Common Factor
We found the factors 296,5930 . The biggest common factor number is the GCF number.
So the greatest common factor 296,5930 is 2.
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 18/296, 2579/5930?
Answer: LCM of Numerators as per given numbers 18/296, 2579/5930 is
LCM of Numerators i.e. for 18,2579 is 46422
GCF of denominators i.e. for 296,5930 is 2.
Thus, LCM of Fractions is 23211.Finally, LCM of Fractions for 18/296, 2579/5930 is 23211.