Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/323, 91/388, 85/444 quickly i.e. 61880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/323, 91/388, 85/444 is 61880.
LCM(8/323, 91/388, 85/444) = 61880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/323,91/388,85/444
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 8,91,85
Least Common Multiple of Numerators i.e. LCM of 8,91,85 is 61880.
GCF of Denominators means GCF of 323,388,444 as per the given fractions.
GCF of 323,388,444 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,91,85
Given numbers has no common factors except 1. So, there LCM is their product i.e 61880
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 8,91,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,91,85) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,91,85) x common factors =1 x 1 = 1
LCM(8,91,85) = ( 8 × 91 × 85 ) / 1
LCM(8,91,85) = 61880 / 1
LCM(8,91,85) = 61880
Lets's calculate GCF of 323,388,444
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61880/1
Therefore the LCM of Fractions 8/323,91/388,85/444 is 61880
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 323,388,444 . The biggest common factor number is the GCF number.
So the greatest common factor 323,388,444 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 8/323, 91/388, 85/444?
Answer: LCM of Numerators as per given numbers 8/323, 91/388, 85/444 is
LCM of Numerators i.e. for 8,91,85 is 61880
GCF of denominators i.e. for 323,388,444 is 1.
Thus, LCM of Fractions is 61880.Finally, LCM of Fractions for 8/323, 91/388, 85/444 is 61880.