Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/576, 10/197, 661/882 quickly i.e. 204910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/576, 10/197, 661/882 is 204910.
LCM(31/576, 10/197, 661/882) = 204910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/576,10/197,661/882
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 31,10,661
Least Common Multiple of Numerators i.e. LCM of 31,10,661 is 204910.
GCF of Denominators means GCF of 576,197,882 as per the given fractions.
GCF of 576,197,882 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,10,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 204910
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 31,10,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,10,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,10,661) x common factors =1 x 1 = 1
LCM(31,10,661) = ( 31 × 10 × 661 ) / 1
LCM(31,10,661) = 204910 / 1
LCM(31,10,661) = 204910
Lets's calculate GCF of 576,197,882
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204910/1
Therefore the LCM of Fractions 31/576,10/197,661/882 is 204910
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 576,197,882 . The biggest common factor number is the GCF number.
So the greatest common factor 576,197,882 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 31/576, 10/197, 661/882?
Answer: LCM of Numerators as per given numbers 31/576, 10/197, 661/882 is
LCM of Numerators i.e. for 31,10,661 is 204910
GCF of denominators i.e. for 576,197,882 is 1.
Thus, LCM of Fractions is 204910.Finally, LCM of Fractions for 31/576, 10/197, 661/882 is 204910.