Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3908/899, 7947/6780 quickly i.e. 31056876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3908/899, 7947/6780 is 31056876.
LCM(3908/899, 7947/6780) = 31056876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3908/899,7947/6780
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 3908,7947
Least Common Multiple of Numerators i.e. LCM of 3908,7947 is 31056876.
GCF of Denominators means GCF of 899,6780 as per the given fractions.
GCF of 899,6780 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3908,7947
Given numbers has no common factors except 1. So, there LCM is their product i.e 31056876
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 3908,7947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3908,7947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3908,7947) x common factors =1 x 1 = 1
LCM(3908,7947) = ( 3908 × 7947 ) / 1
LCM(3908,7947) = 31056876 / 1
LCM(3908,7947) = 31056876
Lets's calculate GCF of 899,6780
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31056876/1
Therefore the LCM of Fractions 3908/899,7947/6780 is 31056876
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 6780
List of positive integer factors of 6780 that divides 6780 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780
Greatest Common Factor
We found the factors 899,6780 . The biggest common factor number is the GCF number.
So the greatest common factor 899,6780 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 3908/899, 7947/6780?
Answer: LCM of Numerators as per given numbers 3908/899, 7947/6780 is
LCM of Numerators i.e. for 3908,7947 is 31056876
GCF of denominators i.e. for 899,6780 is 1.
Thus, LCM of Fractions is 31056876.Finally, LCM of Fractions for 3908/899, 7947/6780 is 31056876.