Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/570, 33/321, 125/327 quickly i.e. 42625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/570, 33/321, 125/327 is 42625.
LCM(31/570, 33/321, 125/327) = 42625
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/570,33/321,125/327
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 31,33,125
Least Common Multiple of Numerators i.e. LCM of 31,33,125 is 127875.
GCF of Denominators means GCF of 570,321,327 as per the given fractions.
GCF of 570,321,327 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,33,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 127875
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 31,33,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,33,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,33,125) x common factors =1 x 1 = 1
LCM(31,33,125) = ( 31 × 33 × 125 ) / 1
LCM(31,33,125) = 127875 / 1
LCM(31,33,125) = 127875
Lets's calculate GCF of 570,321,327
3 | 570, 321, 327 |
190, 107, 109 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127875/3
Therefore the LCM of Fractions 31/570,33/321,125/327 is 42625
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 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Greatest Common Factor
We found the factors 570,321,327 . The biggest common factor number is the GCF number.
So the greatest common factor 570,321,327 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 31/570, 33/321, 125/327?
Answer: LCM of Numerators as per given numbers 31/570, 33/321, 125/327 is
LCM of Numerators i.e. for 31,33,125 is 127875
GCF of denominators i.e. for 570,321,327 is 3.
Thus, LCM of Fractions is 42625.Finally, LCM of Fractions for 31/570, 33/321, 125/327 is 42625.