Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/23, 204/28, 749/838 quickly i.e. 4736676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/23, 204/28, 749/838 is 4736676.
LCM(31/23, 204/28, 749/838) = 4736676
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/23,204/28,749/838
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 31,204,749
Least Common Multiple of Numerators i.e. LCM of 31,204,749 is 4736676.
GCF of Denominators means GCF of 23,28,838 as per the given fractions.
GCF of 23,28,838 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,204,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 4736676
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 31,204,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,204,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,204,749) x common factors =1 x 1 = 1
LCM(31,204,749) = ( 31 × 204 × 749 ) / 1
LCM(31,204,749) = 4736676 / 1
LCM(31,204,749) = 4736676
Lets's calculate GCF of 23,28,838
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4736676/1
Therefore the LCM of Fractions 31/23,204/28,749/838 is 4736676
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors 23,28,838 . The biggest common factor number is the GCF number.
So the greatest common factor 23,28,838 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 31/23, 204/28, 749/838?
Answer: LCM of Numerators as per given numbers 31/23, 204/28, 749/838 is
LCM of Numerators i.e. for 31,204,749 is 4736676
GCF of denominators i.e. for 23,28,838 is 1.
Thus, LCM of Fractions is 4736676.Finally, LCM of Fractions for 31/23, 204/28, 749/838 is 4736676.