Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6391/860, 8793/9129 quickly i.e. 56196063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6391/860, 8793/9129 is 56196063.
LCM(6391/860, 8793/9129) = 56196063
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6391/860,8793/9129
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 6391,8793
Least Common Multiple of Numerators i.e. LCM of 6391,8793 is 56196063.
GCF of Denominators means GCF of 860,9129 as per the given fractions.
GCF of 860,9129 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6391,8793
Given numbers has no common factors except 1. So, there LCM is their product i.e 56196063
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 6391,8793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6391,8793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6391,8793) x common factors =1 x 1 = 1
LCM(6391,8793) = ( 6391 × 8793 ) / 1
LCM(6391,8793) = 56196063 / 1
LCM(6391,8793) = 56196063
Lets's calculate GCF of 860,9129
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56196063/1
Therefore the LCM of Fractions 6391/860,8793/9129 is 56196063
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 9129
List of positive integer factors of 9129 that divides 9129 without a remainder.
1,3,17,51,179,537,3043,9129
Greatest Common Factor
We found the factors 860,9129 . The biggest common factor number is the GCF number.
So the greatest common factor 860,9129 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 6391/860, 8793/9129?
Answer: LCM of Numerators as per given numbers 6391/860, 8793/9129 is
LCM of Numerators i.e. for 6391,8793 is 56196063
GCF of denominators i.e. for 860,9129 is 1.
Thus, LCM of Fractions is 56196063.Finally, LCM of Fractions for 6391/860, 8793/9129 is 56196063.