Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8955/933, 7341/8309 quickly i.e. 21912885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8955/933, 7341/8309 is 21912885.
LCM(8955/933, 7341/8309) = 21912885
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8955/933,7341/8309
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 8955,7341
Least Common Multiple of Numerators i.e. LCM of 8955,7341 is 21912885.
GCF of Denominators means GCF of 933,8309 as per the given fractions.
GCF of 933,8309 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8955,7341
3 | 8955, 7341 |
2985, 2447 |
∴ So the LCM of the given numbers is 3 x 2985 x 2447 = 21912885
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 8955,7341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8955,7341) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8955,7341) x common factors =3 x 1 = 3
LCM(8955,7341) = ( 8955 × 7341 ) / 3
LCM(8955,7341) = 65738655 / 3
LCM(8955,7341) = 21912885
Lets's calculate GCF of 933,8309
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21912885/1
Therefore the LCM of Fractions 8955/933,7341/8309 is 21912885
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 8309
List of positive integer factors of 8309 that divides 8309 without a remainder.
1,7,1187,8309
Greatest Common Factor
We found the factors 933,8309 . The biggest common factor number is the GCF number.
So the greatest common factor 933,8309 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 8955/933, 7341/8309?
Answer: LCM of Numerators as per given numbers 8955/933, 7341/8309 is
LCM of Numerators i.e. for 8955,7341 is 21912885
GCF of denominators i.e. for 933,8309 is 1.
Thus, LCM of Fractions is 21912885.Finally, LCM of Fractions for 8955/933, 7341/8309 is 21912885.