Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 865/927, 3087/1070 quickly i.e. 2670255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 865/927, 3087/1070 is 2670255.
LCM(865/927, 3087/1070) = 2670255
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 865/927,3087/1070
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 865,3087
Least Common Multiple of Numerators i.e. LCM of 865,3087 is 2670255.
GCF of Denominators means GCF of 927,1070 as per the given fractions.
GCF of 927,1070 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 865,3087
Given numbers has no common factors except 1. So, there LCM is their product i.e 2670255
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 865,3087 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,3087) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,3087) x common factors =1 x 1 = 1
LCM(865,3087) = ( 865 × 3087 ) / 1
LCM(865,3087) = 2670255 / 1
LCM(865,3087) = 2670255
Lets's calculate GCF of 927,1070
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2670255/1
Therefore the LCM of Fractions 865/927,3087/1070 is 2670255
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 1070
List of positive integer factors of 1070 that divides 1070 without a remainder.
1,2,5,10,107,214,535,1070
Greatest Common Factor
We found the factors 927,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 927,1070 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 865/927, 3087/1070?
Answer: LCM of Numerators as per given numbers 865/927, 3087/1070 is
LCM of Numerators i.e. for 865,3087 is 2670255
GCF of denominators i.e. for 927,1070 is 1.
Thus, LCM of Fractions is 2670255.Finally, LCM of Fractions for 865/927, 3087/1070 is 2670255.