Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/82, 97/879, 857/450 quickly i.e. 3158902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/82, 97/879, 857/450 is 3158902.
LCM(38/82, 97/879, 857/450) = 3158902
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/82,97/879,857/450
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 38,97,857
Least Common Multiple of Numerators i.e. LCM of 38,97,857 is 3158902.
GCF of Denominators means GCF of 82,879,450 as per the given fractions.
GCF of 82,879,450 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,97,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 3158902
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 38,97,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,97,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,97,857) x common factors =1 x 1 = 1
LCM(38,97,857) = ( 38 × 97 × 857 ) / 1
LCM(38,97,857) = 3158902 / 1
LCM(38,97,857) = 3158902
Lets's calculate GCF of 82,879,450
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3158902/1
Therefore the LCM of Fractions 38/82,97/879,857/450 is 3158902
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 82,879,450 . The biggest common factor number is the GCF number.
So the greatest common factor 82,879,450 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 38/82, 97/879, 857/450?
Answer: LCM of Numerators as per given numbers 38/82, 97/879, 857/450 is
LCM of Numerators i.e. for 38,97,857 is 3158902
GCF of denominators i.e. for 82,879,450 is 1.
Thus, LCM of Fractions is 3158902.Finally, LCM of Fractions for 38/82, 97/879, 857/450 is 3158902.