Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/91, 998/24, 166/439 quickly i.e. 3561862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/91, 998/24, 166/439 is 3561862.
LCM(43/91, 998/24, 166/439) = 3561862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/91,998/24,166/439
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 43,998,166
Least Common Multiple of Numerators i.e. LCM of 43,998,166 is 3561862.
GCF of Denominators means GCF of 91,24,439 as per the given fractions.
GCF of 91,24,439 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,998,166
2 | 43, 998, 166 |
43, 499, 83 |
∴ So the LCM of the given numbers is 2 x 43 x 499 x 83 = 3561862
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 43,998,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,998,166) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(43,998,166) x common factors =1 x 2 = 2
LCM(43,998,166) = ( 43 × 998 × 166 ) / 2
LCM(43,998,166) = 7123724 / 2
LCM(43,998,166) = 3561862
Lets's calculate GCF of 91,24,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3561862/1
Therefore the LCM of Fractions 43/91,998/24,166/439 is 3561862
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Greatest Common Factor
We found the factors 91,24,439 . The biggest common factor number is the GCF number.
So the greatest common factor 91,24,439 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 43/91, 998/24, 166/439?
Answer: LCM of Numerators as per given numbers 43/91, 998/24, 166/439 is
LCM of Numerators i.e. for 43,998,166 is 3561862
GCF of denominators i.e. for 91,24,439 is 1.
Thus, LCM of Fractions is 3561862.Finally, LCM of Fractions for 43/91, 998/24, 166/439 is 3561862.