Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/586, 853/406, 927/171 quickly i.e. 8698041 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/586, 853/406, 927/171 is 8698041.
LCM(11/586, 853/406, 927/171) = 8698041
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/586,853/406,927/171
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 11,853,927
Least Common Multiple of Numerators i.e. LCM of 11,853,927 is 8698041.
GCF of Denominators means GCF of 586,406,171 as per the given fractions.
GCF of 586,406,171 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,853,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 8698041
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 11,853,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,853,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,853,927) x common factors =1 x 1 = 1
LCM(11,853,927) = ( 11 × 853 × 927 ) / 1
LCM(11,853,927) = 8698041 / 1
LCM(11,853,927) = 8698041
Lets's calculate GCF of 586,406,171
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8698041/1
Therefore the LCM of Fractions 11/586,853/406,927/171 is 8698041
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Greatest Common Factor
We found the factors 586,406,171 . The biggest common factor number is the GCF number.
So the greatest common factor 586,406,171 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 11/586, 853/406, 927/171?
Answer: LCM of Numerators as per given numbers 11/586, 853/406, 927/171 is
LCM of Numerators i.e. for 11,853,927 is 8698041
GCF of denominators i.e. for 586,406,171 is 1.
Thus, LCM of Fractions is 8698041.Finally, LCM of Fractions for 11/586, 853/406, 927/171 is 8698041.