Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 873/22, 886/6186 quickly i.e. 386739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 873/22, 886/6186 is 386739.
LCM(873/22, 886/6186) = 386739
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 873/22,886/6186
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 873,886
Least Common Multiple of Numerators i.e. LCM of 873,886 is 773478.
GCF of Denominators means GCF of 22,6186 as per the given fractions.
GCF of 22,6186 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 873,886
Given numbers has no common factors except 1. So, there LCM is their product i.e 773478
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 873,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,886) x common factors =1 x 1 = 1
LCM(873,886) = ( 873 × 886 ) / 1
LCM(873,886) = 773478 / 1
LCM(873,886) = 773478
Lets's calculate GCF of 22,6186
2 | 22, 6186 |
11, 3093 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 773478/2
Therefore the LCM of Fractions 873/22,886/6186 is 386739
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 6186
List of positive integer factors of 6186 that divides 6186 without a remainder.
1,2,3,6,1031,2062,3093,6186
Greatest Common Factor
We found the factors 22,6186 . The biggest common factor number is the GCF number.
So the greatest common factor 22,6186 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 873/22, 886/6186?
Answer: LCM of Numerators as per given numbers 873/22, 886/6186 is
LCM of Numerators i.e. for 873,886 is 773478
GCF of denominators i.e. for 22,6186 is 2.
Thus, LCM of Fractions is 386739.Finally, LCM of Fractions for 873/22, 886/6186 is 386739.