Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3441/89, 9333/445 quickly i.e. 10704951/89 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3441/89, 9333/445 is 10704951/89.
LCM(3441/89, 9333/445) = 10704951/89
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3441/89,9333/445
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 3441,9333
Least Common Multiple of Numerators i.e. LCM of 3441,9333 is 10704951.
GCF of Denominators means GCF of 89,445 as per the given fractions.
GCF of 89,445 is 89 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3441,9333
3 | 3441, 9333 |
1147, 3111 |
∴ So the LCM of the given numbers is 3 x 1147 x 3111 = 10704951
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 3441,9333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3441,9333) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(3441,9333) x common factors =3 x 1 = 3
LCM(3441,9333) = ( 3441 × 9333 ) / 3
LCM(3441,9333) = 32114853 / 3
LCM(3441,9333) = 10704951
Lets's calculate GCF of 89,445
89 | 89, 445 |
1, 5 |
∴ So the GCF of the given numbers is 89 = 89
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10704951/89
Therefore the LCM of Fractions 3441/89,9333/445 is 10704951/89
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 89,445 . The biggest common factor number is the GCF number.
So the greatest common factor 89,445 is 89.
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 3441/89, 9333/445?
Answer: LCM of Numerators as per given numbers 3441/89, 9333/445 is
LCM of Numerators i.e. for 3441,9333 is 10704951
GCF of denominators i.e. for 89,445 is 89.
Thus, LCM of Fractions is 10704951/89.Finally, LCM of Fractions for 3441/89, 9333/445 is 10704951/89.