Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/198, 927/826, 459/277 quickly i.e. 472770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/198, 927/826, 459/277 is 472770.
LCM(30/198, 927/826, 459/277) = 472770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/198,927/826,459/277
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 30,927,459
Least Common Multiple of Numerators i.e. LCM of 30,927,459 is 472770.
GCF of Denominators means GCF of 198,826,277 as per the given fractions.
GCF of 198,826,277 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,927,459
3 | 30, 927, 459 |
3 | 10, 309, 153 |
10, 103, 51 |
∴ So the LCM of the given numbers is 3 x 3 x 10 x 103 x 51 = 472770
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 30,927,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,927,459) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(30,927,459) x common factors =3 x 9 = 27
LCM(30,927,459) = ( 30 × 927 × 459 ) / 27
LCM(30,927,459) = 12764790 / 27
LCM(30,927,459) = 472770
Lets's calculate GCF of 198,826,277
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 472770/1
Therefore the LCM of Fractions 30/198,927/826,459/277 is 472770
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Greatest Common Factor
We found the factors 198,826,277 . The biggest common factor number is the GCF number.
So the greatest common factor 198,826,277 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 30/198, 927/826, 459/277?
Answer: LCM of Numerators as per given numbers 30/198, 927/826, 459/277 is
LCM of Numerators i.e. for 30,927,459 is 472770
GCF of denominators i.e. for 198,826,277 is 1.
Thus, LCM of Fractions is 472770.Finally, LCM of Fractions for 30/198, 927/826, 459/277 is 472770.