Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/927, 11/476, 827/123 quickly i.e. 345686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/927, 11/476, 827/123 is 345686.
LCM(38/927, 11/476, 827/123) = 345686
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/927,11/476,827/123
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 38,11,827
Least Common Multiple of Numerators i.e. LCM of 38,11,827 is 345686.
GCF of Denominators means GCF of 927,476,123 as per the given fractions.
GCF of 927,476,123 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,11,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 345686
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 38,11,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,11,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,11,827) x common factors =1 x 1 = 1
LCM(38,11,827) = ( 38 × 11 × 827 ) / 1
LCM(38,11,827) = 345686 / 1
LCM(38,11,827) = 345686
Lets's calculate GCF of 927,476,123
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345686/1
Therefore the LCM of Fractions 38/927,11/476,827/123 is 345686
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 927,476,123 . The biggest common factor number is the GCF number.
So the greatest common factor 927,476,123 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 38/927, 11/476, 827/123?
Answer: LCM of Numerators as per given numbers 38/927, 11/476, 827/123 is
LCM of Numerators i.e. for 38,11,827 is 345686
GCF of denominators i.e. for 927,476,123 is 1.
Thus, LCM of Fractions is 345686.Finally, LCM of Fractions for 38/927, 11/476, 827/123 is 345686.