Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/250, 89/673, 857/291 quickly i.e. 2135644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/250, 89/673, 857/291 is 2135644.
LCM(28/250, 89/673, 857/291) = 2135644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/250,89/673,857/291
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 28,89,857
Least Common Multiple of Numerators i.e. LCM of 28,89,857 is 2135644.
GCF of Denominators means GCF of 250,673,291 as per the given fractions.
GCF of 250,673,291 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,89,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 2135644
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 28,89,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,89,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,89,857) x common factors =1 x 1 = 1
LCM(28,89,857) = ( 28 × 89 × 857 ) / 1
LCM(28,89,857) = 2135644 / 1
LCM(28,89,857) = 2135644
Lets's calculate GCF of 250,673,291
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2135644/1
Therefore the LCM of Fractions 28/250,89/673,857/291 is 2135644
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Greatest Common Factor
We found the factors 250,673,291 . The biggest common factor number is the GCF number.
So the greatest common factor 250,673,291 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 28/250, 89/673, 857/291?
Answer: LCM of Numerators as per given numbers 28/250, 89/673, 857/291 is
LCM of Numerators i.e. for 28,89,857 is 2135644
GCF of denominators i.e. for 250,673,291 is 1.
Thus, LCM of Fractions is 2135644.Finally, LCM of Fractions for 28/250, 89/673, 857/291 is 2135644.