Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/12, 891/54, 866/382 quickly i.e. 6558651 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/12, 891/54, 866/382 is 6558651.
LCM(17/12, 891/54, 866/382) = 6558651
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/12,891/54,866/382
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 17,891,866
Least Common Multiple of Numerators i.e. LCM of 17,891,866 is 13117302.
GCF of Denominators means GCF of 12,54,382 as per the given fractions.
GCF of 12,54,382 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,891,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 13117302
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 17,891,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,891,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,891,866) x common factors =1 x 1 = 1
LCM(17,891,866) = ( 17 × 891 × 866 ) / 1
LCM(17,891,866) = 13117302 / 1
LCM(17,891,866) = 13117302
Lets's calculate GCF of 12,54,382
2 | 12, 54, 382 |
6, 27, 191 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13117302/2
Therefore the LCM of Fractions 17/12,891/54,866/382 is 6558651
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 12,54,382 . The biggest common factor number is the GCF number.
So the greatest common factor 12,54,382 is 2.
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 17/12, 891/54, 866/382?
Answer: LCM of Numerators as per given numbers 17/12, 891/54, 866/382 is
LCM of Numerators i.e. for 17,891,866 is 13117302
GCF of denominators i.e. for 12,54,382 is 2.
Thus, LCM of Fractions is 6558651.Finally, LCM of Fractions for 17/12, 891/54, 866/382 is 6558651.