Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8151/270, 2159/507 quickly i.e. 5866003 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8151/270, 2159/507 is 5866003.
LCM(8151/270, 2159/507) = 5866003
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8151/270,2159/507
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 8151,2159
Least Common Multiple of Numerators i.e. LCM of 8151,2159 is 17598009.
GCF of Denominators means GCF of 270,507 as per the given fractions.
GCF of 270,507 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8151,2159
Given numbers has no common factors except 1. So, there LCM is their product i.e 17598009
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 8151,2159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8151,2159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8151,2159) x common factors =1 x 1 = 1
LCM(8151,2159) = ( 8151 × 2159 ) / 1
LCM(8151,2159) = 17598009 / 1
LCM(8151,2159) = 17598009
Lets's calculate GCF of 270,507
3 | 270, 507 |
90, 169 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17598009/3
Therefore the LCM of Fractions 8151/270,2159/507 is 5866003
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Greatest Common Factor
We found the factors 270,507 . The biggest common factor number is the GCF number.
So the greatest common factor 270,507 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 8151/270, 2159/507?
Answer: LCM of Numerators as per given numbers 8151/270, 2159/507 is
LCM of Numerators i.e. for 8151,2159 is 17598009
GCF of denominators i.e. for 270,507 is 3.
Thus, LCM of Fractions is 5866003.Finally, LCM of Fractions for 8151/270, 2159/507 is 5866003.