Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 382/31, 8857/815 quickly i.e. 3383374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 382/31, 8857/815 is 3383374.
LCM(382/31, 8857/815) = 3383374
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 382/31,8857/815
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 382,8857
Least Common Multiple of Numerators i.e. LCM of 382,8857 is 3383374.
GCF of Denominators means GCF of 31,815 as per the given fractions.
GCF of 31,815 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 382,8857
Given numbers has no common factors except 1. So, there LCM is their product i.e 3383374
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 382,8857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,8857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(382,8857) x common factors =1 x 1 = 1
LCM(382,8857) = ( 382 × 8857 ) / 1
LCM(382,8857) = 3383374 / 1
LCM(382,8857) = 3383374
Lets's calculate GCF of 31,815
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3383374/1
Therefore the LCM of Fractions 382/31,8857/815 is 3383374
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Greatest Common Factor
We found the factors 31,815 . The biggest common factor number is the GCF number.
So the greatest common factor 31,815 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 382/31, 8857/815?
Answer: LCM of Numerators as per given numbers 382/31, 8857/815 is
LCM of Numerators i.e. for 382,8857 is 3383374
GCF of denominators i.e. for 31,815 is 1.
Thus, LCM of Fractions is 3383374.Finally, LCM of Fractions for 382/31, 8857/815 is 3383374.