Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 273/570, 5517/933 quickly i.e. 167349 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 273/570, 5517/933 is 167349.
LCM(273/570, 5517/933) = 167349
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 273/570,5517/933
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 273,5517
Least Common Multiple of Numerators i.e. LCM of 273,5517 is 502047.
GCF of Denominators means GCF of 570,933 as per the given fractions.
GCF of 570,933 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 273,5517
3 | 273, 5517 |
91, 1839 |
∴ So the LCM of the given numbers is 3 x 91 x 1839 = 502047
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 273,5517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,5517) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(273,5517) x common factors =3 x 1 = 3
LCM(273,5517) = ( 273 × 5517 ) / 3
LCM(273,5517) = 1506141 / 3
LCM(273,5517) = 502047
Lets's calculate GCF of 570,933
3 | 570, 933 |
190, 311 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 502047/3
Therefore the LCM of Fractions 273/570,5517/933 is 167349
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Greatest Common Factor
We found the factors 570,933 . The biggest common factor number is the GCF number.
So the greatest common factor 570,933 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 273/570, 5517/933?
Answer: LCM of Numerators as per given numbers 273/570, 5517/933 is
LCM of Numerators i.e. for 273,5517 is 502047
GCF of denominators i.e. for 570,933 is 3.
Thus, LCM of Fractions is 167349.Finally, LCM of Fractions for 273/570, 5517/933 is 167349.