Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/933, 7023/4533 quickly i.e. 72571 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/933, 7023/4533 is 72571.
LCM(93/933, 7023/4533) = 72571
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/933,7023/4533
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 93,7023
Least Common Multiple of Numerators i.e. LCM of 93,7023 is 217713.
GCF of Denominators means GCF of 933,4533 as per the given fractions.
GCF of 933,4533 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,7023
3 | 93, 7023 |
31, 2341 |
∴ So the LCM of the given numbers is 3 x 31 x 2341 = 217713
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 93,7023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,7023) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,7023) x common factors =3 x 1 = 3
LCM(93,7023) = ( 93 × 7023 ) / 3
LCM(93,7023) = 653139 / 3
LCM(93,7023) = 217713
Lets's calculate GCF of 933,4533
3 | 933, 4533 |
311, 1511 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217713/3
Therefore the LCM of Fractions 93/933,7023/4533 is 72571
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 4533
List of positive integer factors of 4533 that divides 4533 without a remainder.
1,3,1511,4533
Greatest Common Factor
We found the factors 933,4533 . The biggest common factor number is the GCF number.
So the greatest common factor 933,4533 is 3.
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 93/933, 7023/4533?
Answer: LCM of Numerators as per given numbers 93/933, 7023/4533 is
LCM of Numerators i.e. for 93,7023 is 217713
GCF of denominators i.e. for 933,4533 is 3.
Thus, LCM of Fractions is 72571.Finally, LCM of Fractions for 93/933, 7023/4533 is 72571.