Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/781, 2614/5827 quickly i.e. 33982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/781, 2614/5827 is 33982.
LCM(13/781, 2614/5827) = 33982
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/781,2614/5827
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 13,2614
Least Common Multiple of Numerators i.e. LCM of 13,2614 is 33982.
GCF of Denominators means GCF of 781,5827 as per the given fractions.
GCF of 781,5827 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,2614
Given numbers has no common factors except 1. So, there LCM is their product i.e 33982
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 13,2614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,2614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,2614) x common factors =1 x 1 = 1
LCM(13,2614) = ( 13 × 2614 ) / 1
LCM(13,2614) = 33982 / 1
LCM(13,2614) = 33982
Lets's calculate GCF of 781,5827
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33982/1
Therefore the LCM of Fractions 13/781,2614/5827 is 33982
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 5827
List of positive integer factors of 5827 that divides 5827 without a remainder.
1,5827
Greatest Common Factor
We found the factors 781,5827 . The biggest common factor number is the GCF number.
So the greatest common factor 781,5827 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 13/781, 2614/5827?
Answer: LCM of Numerators as per given numbers 13/781, 2614/5827 is
LCM of Numerators i.e. for 13,2614 is 33982
GCF of denominators i.e. for 781,5827 is 1.
Thus, LCM of Fractions is 33982.Finally, LCM of Fractions for 13/781, 2614/5827 is 33982.