Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/254, 8327/4511 quickly i.e. 716122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/254, 8327/4511 is 716122.
LCM(86/254, 8327/4511) = 716122
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/254,8327/4511
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 86,8327
Least Common Multiple of Numerators i.e. LCM of 86,8327 is 716122.
GCF of Denominators means GCF of 254,4511 as per the given fractions.
GCF of 254,4511 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,8327
Given numbers has no common factors except 1. So, there LCM is their product i.e 716122
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 86,8327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,8327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,8327) x common factors =1 x 1 = 1
LCM(86,8327) = ( 86 × 8327 ) / 1
LCM(86,8327) = 716122 / 1
LCM(86,8327) = 716122
Lets's calculate GCF of 254,4511
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 716122/1
Therefore the LCM of Fractions 86/254,8327/4511 is 716122
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 4511
List of positive integer factors of 4511 that divides 4511 without a remainder.
1,13,347,4511
Greatest Common Factor
We found the factors 254,4511 . The biggest common factor number is the GCF number.
So the greatest common factor 254,4511 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 86/254, 8327/4511?
Answer: LCM of Numerators as per given numbers 86/254, 8327/4511 is
LCM of Numerators i.e. for 86,8327 is 716122
GCF of denominators i.e. for 254,4511 is 1.
Thus, LCM of Fractions is 716122.Finally, LCM of Fractions for 86/254, 8327/4511 is 716122.