Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/892, 23/604, 811/675 quickly i.e. 205183 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/892, 23/604, 811/675 is 205183.
LCM(11/892, 23/604, 811/675) = 205183
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/892,23/604,811/675
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 11,23,811
Least Common Multiple of Numerators i.e. LCM of 11,23,811 is 205183.
GCF of Denominators means GCF of 892,604,675 as per the given fractions.
GCF of 892,604,675 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,23,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 205183
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 11,23,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,23,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,23,811) x common factors =1 x 1 = 1
LCM(11,23,811) = ( 11 × 23 × 811 ) / 1
LCM(11,23,811) = 205183 / 1
LCM(11,23,811) = 205183
Lets's calculate GCF of 892,604,675
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205183/1
Therefore the LCM of Fractions 11/892,23/604,811/675 is 205183
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Greatest Common Factor
We found the factors 892,604,675 . The biggest common factor number is the GCF number.
So the greatest common factor 892,604,675 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 11/892, 23/604, 811/675?
Answer: LCM of Numerators as per given numbers 11/892, 23/604, 811/675 is
LCM of Numerators i.e. for 11,23,811 is 205183
GCF of denominators i.e. for 892,604,675 is 1.
Thus, LCM of Fractions is 205183.Finally, LCM of Fractions for 11/892, 23/604, 811/675 is 205183.