Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 166/433, 6742/5912 quickly i.e. 559586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 166/433, 6742/5912 is 559586.
LCM(166/433, 6742/5912) = 559586
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 166/433,6742/5912
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 166,6742
Least Common Multiple of Numerators i.e. LCM of 166,6742 is 559586.
GCF of Denominators means GCF of 433,5912 as per the given fractions.
GCF of 433,5912 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 166,6742
2 | 166, 6742 |
83, 3371 |
∴ So the LCM of the given numbers is 2 x 83 x 3371 = 559586
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 166,6742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,6742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,6742) x common factors =2 x 1 = 2
LCM(166,6742) = ( 166 × 6742 ) / 2
LCM(166,6742) = 1119172 / 2
LCM(166,6742) = 559586
Lets's calculate GCF of 433,5912
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 559586/1
Therefore the LCM of Fractions 166/433,6742/5912 is 559586
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 5912
List of positive integer factors of 5912 that divides 5912 without a remainder.
1,2,4,8,739,1478,2956,5912
Greatest Common Factor
We found the factors 433,5912 . The biggest common factor number is the GCF number.
So the greatest common factor 433,5912 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 166/433, 6742/5912?
Answer: LCM of Numerators as per given numbers 166/433, 6742/5912 is
LCM of Numerators i.e. for 166,6742 is 559586
GCF of denominators i.e. for 433,5912 is 1.
Thus, LCM of Fractions is 559586.Finally, LCM of Fractions for 166/433, 6742/5912 is 559586.