Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 608/23, 823/5198 quickly i.e. 500384/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 608/23, 823/5198 is 500384/23.
LCM(608/23, 823/5198) = 500384/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 608/23,823/5198
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 608,823
Least Common Multiple of Numerators i.e. LCM of 608,823 is 500384.
GCF of Denominators means GCF of 23,5198 as per the given fractions.
GCF of 23,5198 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 608,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 500384
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 608,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(608,823) x common factors =1 x 1 = 1
LCM(608,823) = ( 608 × 823 ) / 1
LCM(608,823) = 500384 / 1
LCM(608,823) = 500384
Lets's calculate GCF of 23,5198
23 | 23, 5198 |
1, 226 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 500384/23
Therefore the LCM of Fractions 608/23,823/5198 is 500384/23
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 5198
List of positive integer factors of 5198 that divides 5198 without a remainder.
1,2,23,46,113,226,2599,5198
Greatest Common Factor
We found the factors 23,5198 . The biggest common factor number is the GCF number.
So the greatest common factor 23,5198 is 23.
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 608/23, 823/5198?
Answer: LCM of Numerators as per given numbers 608/23, 823/5198 is
LCM of Numerators i.e. for 608,823 is 500384
GCF of denominators i.e. for 23,5198 is 23.
Thus, LCM of Fractions is 500384/23.Finally, LCM of Fractions for 608/23, 823/5198 is 500384/23.