Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 846/89, 161/91, 831/168 quickly i.e. 37729062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 846/89, 161/91, 831/168 is 37729062.
LCM(846/89, 161/91, 831/168) = 37729062
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 846/89,161/91,831/168
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 846,161,831
Least Common Multiple of Numerators i.e. LCM of 846,161,831 is 37729062.
GCF of Denominators means GCF of 89,91,168 as per the given fractions.
GCF of 89,91,168 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 846,161,831
3 | 846, 161, 831 |
282, 161, 277 |
∴ So the LCM of the given numbers is 3 x 282 x 161 x 277 = 37729062
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 846,161,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,161,831) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(846,161,831) x common factors =1 x 3 = 3
LCM(846,161,831) = ( 846 × 161 × 831 ) / 3
LCM(846,161,831) = 113187186 / 3
LCM(846,161,831) = 37729062
Lets's calculate GCF of 89,91,168
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37729062/1
Therefore the LCM of Fractions 846/89,161/91,831/168 is 37729062
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 89,91,168 . The biggest common factor number is the GCF number.
So the greatest common factor 89,91,168 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 846/89, 161/91, 831/168?
Answer: LCM of Numerators as per given numbers 846/89, 161/91, 831/168 is
LCM of Numerators i.e. for 846,161,831 is 37729062
GCF of denominators i.e. for 89,91,168 is 1.
Thus, LCM of Fractions is 37729062.Finally, LCM of Fractions for 846/89, 161/91, 831/168 is 37729062.