Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7832/29, 6559/727 quickly i.e. 51370088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7832/29, 6559/727 is 51370088.
LCM(7832/29, 6559/727) = 51370088
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7832/29,6559/727
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 7832,6559
Least Common Multiple of Numerators i.e. LCM of 7832,6559 is 51370088.
GCF of Denominators means GCF of 29,727 as per the given fractions.
GCF of 29,727 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7832,6559
Given numbers has no common factors except 1. So, there LCM is their product i.e 51370088
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 7832,6559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7832,6559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7832,6559) x common factors =1 x 1 = 1
LCM(7832,6559) = ( 7832 × 6559 ) / 1
LCM(7832,6559) = 51370088 / 1
LCM(7832,6559) = 51370088
Lets's calculate GCF of 29,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51370088/1
Therefore the LCM of Fractions 7832/29,6559/727 is 51370088
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Greatest Common Factor
We found the factors 29,727 . The biggest common factor number is the GCF number.
So the greatest common factor 29,727 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 7832/29, 6559/727?
Answer: LCM of Numerators as per given numbers 7832/29, 6559/727 is
LCM of Numerators i.e. for 7832,6559 is 51370088
GCF of denominators i.e. for 29,727 is 1.
Thus, LCM of Fractions is 51370088.Finally, LCM of Fractions for 7832/29, 6559/727 is 51370088.