Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 575/862, 287/872, 180/857 quickly i.e. 5940900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 575/862, 287/872, 180/857 is 5940900.
LCM(575/862, 287/872, 180/857) = 5940900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 575/862,287/872,180/857
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 575,287,180
Least Common Multiple of Numerators i.e. LCM of 575,287,180 is 5940900.
GCF of Denominators means GCF of 862,872,857 as per the given fractions.
GCF of 862,872,857 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 575,287,180
5 | 575, 287, 180 |
115, 287, 36 |
∴ So the LCM of the given numbers is 5 x 115 x 287 x 36 = 5940900
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 575,287,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,287,180) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(575,287,180) x common factors =1 x 5 = 5
LCM(575,287,180) = ( 575 × 287 × 180 ) / 5
LCM(575,287,180) = 29704500 / 5
LCM(575,287,180) = 5940900
Lets's calculate GCF of 862,872,857
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5940900/1
Therefore the LCM of Fractions 575/862,287/872,180/857 is 5940900
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Greatest Common Factor
We found the factors 862,872,857 . The biggest common factor number is the GCF number.
So the greatest common factor 862,872,857 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 575/862, 287/872, 180/857?
Answer: LCM of Numerators as per given numbers 575/862, 287/872, 180/857 is
LCM of Numerators i.e. for 575,287,180 is 5940900
GCF of denominators i.e. for 862,872,857 is 1.
Thus, LCM of Fractions is 5940900.Finally, LCM of Fractions for 575/862, 287/872, 180/857 is 5940900.