Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/181, 578/811, 863/534 quickly i.e. 13467978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/181, 578/811, 863/534 is 13467978.
LCM(27/181, 578/811, 863/534) = 13467978
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/181,578/811,863/534
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 27,578,863
Least Common Multiple of Numerators i.e. LCM of 27,578,863 is 13467978.
GCF of Denominators means GCF of 181,811,534 as per the given fractions.
GCF of 181,811,534 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,578,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 13467978
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 27,578,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,578,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,578,863) x common factors =1 x 1 = 1
LCM(27,578,863) = ( 27 × 578 × 863 ) / 1
LCM(27,578,863) = 13467978 / 1
LCM(27,578,863) = 13467978
Lets's calculate GCF of 181,811,534
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13467978/1
Therefore the LCM of Fractions 27/181,578/811,863/534 is 13467978
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 181,811,534 . The biggest common factor number is the GCF number.
So the greatest common factor 181,811,534 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 27/181, 578/811, 863/534?
Answer: LCM of Numerators as per given numbers 27/181, 578/811, 863/534 is
LCM of Numerators i.e. for 27,578,863 is 13467978
GCF of denominators i.e. for 181,811,534 is 1.
Thus, LCM of Fractions is 13467978.Finally, LCM of Fractions for 27/181, 578/811, 863/534 is 13467978.