Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8991/12, 6856/739 quickly i.e. 61642296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8991/12, 6856/739 is 61642296.
LCM(8991/12, 6856/739) = 61642296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8991/12,6856/739
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 8991,6856
Least Common Multiple of Numerators i.e. LCM of 8991,6856 is 61642296.
GCF of Denominators means GCF of 12,739 as per the given fractions.
GCF of 12,739 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8991,6856
Given numbers has no common factors except 1. So, there LCM is their product i.e 61642296
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 8991,6856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8991,6856) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8991,6856) x common factors =1 x 1 = 1
LCM(8991,6856) = ( 8991 × 6856 ) / 1
LCM(8991,6856) = 61642296 / 1
LCM(8991,6856) = 61642296
Lets's calculate GCF of 12,739
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61642296/1
Therefore the LCM of Fractions 8991/12,6856/739 is 61642296
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Greatest Common Factor
We found the factors 12,739 . The biggest common factor number is the GCF number.
So the greatest common factor 12,739 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 8991/12, 6856/739?
Answer: LCM of Numerators as per given numbers 8991/12, 6856/739 is
LCM of Numerators i.e. for 8991,6856 is 61642296
GCF of denominators i.e. for 12,739 is 1.
Thus, LCM of Fractions is 61642296.Finally, LCM of Fractions for 8991/12, 6856/739 is 61642296.