Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 872/87, 845/7857 quickly i.e. 736840/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 872/87, 845/7857 is 736840/3.
LCM(872/87, 845/7857) = 736840/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 872/87,845/7857
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 872,845
Least Common Multiple of Numerators i.e. LCM of 872,845 is 736840.
GCF of Denominators means GCF of 87,7857 as per the given fractions.
GCF of 87,7857 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 872,845
Given numbers has no common factors except 1. So, there LCM is their product i.e 736840
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 872,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,845) x common factors =1 x 1 = 1
LCM(872,845) = ( 872 × 845 ) / 1
LCM(872,845) = 736840 / 1
LCM(872,845) = 736840
Lets's calculate GCF of 87,7857
3 | 87, 7857 |
29, 2619 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 736840/3
Therefore the LCM of Fractions 872/87,845/7857 is 736840/3
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 7857
List of positive integer factors of 7857 that divides 7857 without a remainder.
1,3,9,27,81,97,291,873,2619,7857
Greatest Common Factor
We found the factors 87,7857 . The biggest common factor number is the GCF number.
So the greatest common factor 87,7857 is 3.
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 872/87, 845/7857?
Answer: LCM of Numerators as per given numbers 872/87, 845/7857 is
LCM of Numerators i.e. for 872,845 is 736840
GCF of denominators i.e. for 87,7857 is 3.
Thus, LCM of Fractions is 736840/3.Finally, LCM of Fractions for 872/87, 845/7857 is 736840/3.