Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/827, 5413/2930 quickly i.e. 254411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/827, 5413/2930 is 254411.
LCM(47/827, 5413/2930) = 254411
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/827,5413/2930
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 47,5413
Least Common Multiple of Numerators i.e. LCM of 47,5413 is 254411.
GCF of Denominators means GCF of 827,2930 as per the given fractions.
GCF of 827,2930 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,5413
Given numbers has no common factors except 1. So, there LCM is their product i.e 254411
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 47,5413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,5413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,5413) x common factors =1 x 1 = 1
LCM(47,5413) = ( 47 × 5413 ) / 1
LCM(47,5413) = 254411 / 1
LCM(47,5413) = 254411
Lets's calculate GCF of 827,2930
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254411/1
Therefore the LCM of Fractions 47/827,5413/2930 is 254411
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Factors of 2930
List of positive integer factors of 2930 that divides 2930 without a remainder.
1,2,5,10,293,586,1465,2930
Greatest Common Factor
We found the factors 827,2930 . The biggest common factor number is the GCF number.
So the greatest common factor 827,2930 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 47/827, 5413/2930?
Answer: LCM of Numerators as per given numbers 47/827, 5413/2930 is
LCM of Numerators i.e. for 47,5413 is 254411
GCF of denominators i.e. for 827,2930 is 1.
Thus, LCM of Fractions is 254411.Finally, LCM of Fractions for 47/827, 5413/2930 is 254411.