Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3885/968, 9054/6781 quickly i.e. 11724930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3885/968, 9054/6781 is 11724930.
LCM(3885/968, 9054/6781) = 11724930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3885/968,9054/6781
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 3885,9054
Least Common Multiple of Numerators i.e. LCM of 3885,9054 is 11724930.
GCF of Denominators means GCF of 968,6781 as per the given fractions.
GCF of 968,6781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3885,9054
3 | 3885, 9054 |
1295, 3018 |
∴ So the LCM of the given numbers is 3 x 1295 x 3018 = 11724930
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 3885,9054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3885,9054) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(3885,9054) x common factors =3 x 1 = 3
LCM(3885,9054) = ( 3885 × 9054 ) / 3
LCM(3885,9054) = 35174790 / 3
LCM(3885,9054) = 11724930
Lets's calculate GCF of 968,6781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11724930/1
Therefore the LCM of Fractions 3885/968,9054/6781 is 11724930
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Factors of 6781
List of positive integer factors of 6781 that divides 6781 without a remainder.
1,6781
Greatest Common Factor
We found the factors 968,6781 . The biggest common factor number is the GCF number.
So the greatest common factor 968,6781 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 3885/968, 9054/6781?
Answer: LCM of Numerators as per given numbers 3885/968, 9054/6781 is
LCM of Numerators i.e. for 3885,9054 is 11724930
GCF of denominators i.e. for 968,6781 is 1.
Thus, LCM of Fractions is 11724930.Finally, LCM of Fractions for 3885/968, 9054/6781 is 11724930.