Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 809/70, 265/19, 886/87 quickly i.e. 189945110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 809/70, 265/19, 886/87 is 189945110.
LCM(809/70, 265/19, 886/87) = 189945110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 809/70,265/19,886/87
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 809,265,886
Least Common Multiple of Numerators i.e. LCM of 809,265,886 is 189945110.
GCF of Denominators means GCF of 70,19,87 as per the given fractions.
GCF of 70,19,87 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 809,265,886
Given numbers has no common factors except 1. So, there LCM is their product i.e 189945110
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 809,265,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,265,886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,265,886) x common factors =1 x 1 = 1
LCM(809,265,886) = ( 809 × 265 × 886 ) / 1
LCM(809,265,886) = 189945110 / 1
LCM(809,265,886) = 189945110
Lets's calculate GCF of 70,19,87
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189945110/1
Therefore the LCM of Fractions 809/70,265/19,886/87 is 189945110
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Greatest Common Factor
We found the factors 70,19,87 . The biggest common factor number is the GCF number.
So the greatest common factor 70,19,87 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 809/70, 265/19, 886/87?
Answer: LCM of Numerators as per given numbers 809/70, 265/19, 886/87 is
LCM of Numerators i.e. for 809,265,886 is 189945110
GCF of denominators i.e. for 70,19,87 is 1.
Thus, LCM of Fractions is 189945110.Finally, LCM of Fractions for 809/70, 265/19, 886/87 is 189945110.