Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/775, 40/203, 831/210 quickly i.e. 299160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/775, 40/203, 831/210 is 299160.
LCM(27/775, 40/203, 831/210) = 299160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/775,40/203,831/210
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 27,40,831
Least Common Multiple of Numerators i.e. LCM of 27,40,831 is 299160.
GCF of Denominators means GCF of 775,203,210 as per the given fractions.
GCF of 775,203,210 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,40,831
3 | 27, 40, 831 |
9, 40, 277 |
∴ So the LCM of the given numbers is 3 x 9 x 40 x 277 = 299160
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 27,40,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,40,831) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(27,40,831) x common factors =1 x 3 = 3
LCM(27,40,831) = ( 27 × 40 × 831 ) / 3
LCM(27,40,831) = 897480 / 3
LCM(27,40,831) = 299160
Lets's calculate GCF of 775,203,210
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299160/1
Therefore the LCM of Fractions 27/775,40/203,831/210 is 299160
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 775,203,210 . The biggest common factor number is the GCF number.
So the greatest common factor 775,203,210 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 27/775, 40/203, 831/210?
Answer: LCM of Numerators as per given numbers 27/775, 40/203, 831/210 is
LCM of Numerators i.e. for 27,40,831 is 299160
GCF of denominators i.e. for 775,203,210 is 1.
Thus, LCM of Fractions is 299160.Finally, LCM of Fractions for 27/775, 40/203, 831/210 is 299160.