Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5633/929, 6826/515 quickly i.e. 38450858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5633/929, 6826/515 is 38450858.
LCM(5633/929, 6826/515) = 38450858
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5633/929,6826/515
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 5633,6826
Least Common Multiple of Numerators i.e. LCM of 5633,6826 is 38450858.
GCF of Denominators means GCF of 929,515 as per the given fractions.
GCF of 929,515 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5633,6826
Given numbers has no common factors except 1. So, there LCM is their product i.e 38450858
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 5633,6826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5633,6826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5633,6826) x common factors =1 x 1 = 1
LCM(5633,6826) = ( 5633 × 6826 ) / 1
LCM(5633,6826) = 38450858 / 1
LCM(5633,6826) = 38450858
Lets's calculate GCF of 929,515
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38450858/1
Therefore the LCM of Fractions 5633/929,6826/515 is 38450858
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Greatest Common Factor
We found the factors 929,515 . The biggest common factor number is the GCF number.
So the greatest common factor 929,515 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 5633/929, 6826/515?
Answer: LCM of Numerators as per given numbers 5633/929, 6826/515 is
LCM of Numerators i.e. for 5633,6826 is 38450858
GCF of denominators i.e. for 929,515 is 1.
Thus, LCM of Fractions is 38450858.Finally, LCM of Fractions for 5633/929, 6826/515 is 38450858.