Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/192, 4604/1806 quickly i.e. 197972/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/192, 4604/1806 is 197972/6.
LCM(86/192, 4604/1806) = 197972/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/192,4604/1806
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 86,4604
Least Common Multiple of Numerators i.e. LCM of 86,4604 is 197972.
GCF of Denominators means GCF of 192,1806 as per the given fractions.
GCF of 192,1806 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,4604
2 | 86, 4604 |
43, 2302 |
∴ So the LCM of the given numbers is 2 x 43 x 2302 = 197972
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 86,4604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,4604) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,4604) x common factors =2 x 1 = 2
LCM(86,4604) = ( 86 × 4604 ) / 2
LCM(86,4604) = 395944 / 2
LCM(86,4604) = 197972
Lets's calculate GCF of 192,1806
2 | 192, 1806 |
3 | 96, 903 |
32, 301 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197972/6
Therefore the LCM of Fractions 86/192,4604/1806 is 197972/6
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 1806
List of positive integer factors of 1806 that divides 1806 without a remainder.
1,2,3,6,7,14,21,42,43,86,129,258,301,602,903,1806
Greatest Common Factor
We found the factors 192,1806 . The biggest common factor number is the GCF number.
So the greatest common factor 192,1806 is 6.
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 86/192, 4604/1806?
Answer: LCM of Numerators as per given numbers 86/192, 4604/1806 is
LCM of Numerators i.e. for 86,4604 is 197972
GCF of denominators i.e. for 192,1806 is 6.
Thus, LCM of Fractions is 197972/6.Finally, LCM of Fractions for 86/192, 4604/1806 is 197972/6.