Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5587/872, 3335/2731 quickly i.e. 18632645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5587/872, 3335/2731 is 18632645.
LCM(5587/872, 3335/2731) = 18632645
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5587/872,3335/2731
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 5587,3335
Least Common Multiple of Numerators i.e. LCM of 5587,3335 is 18632645.
GCF of Denominators means GCF of 872,2731 as per the given fractions.
GCF of 872,2731 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5587,3335
Given numbers has no common factors except 1. So, there LCM is their product i.e 18632645
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 5587,3335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5587,3335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5587,3335) x common factors =1 x 1 = 1
LCM(5587,3335) = ( 5587 × 3335 ) / 1
LCM(5587,3335) = 18632645 / 1
LCM(5587,3335) = 18632645
Lets's calculate GCF of 872,2731
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18632645/1
Therefore the LCM of Fractions 5587/872,3335/2731 is 18632645
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 2731
List of positive integer factors of 2731 that divides 2731 without a remainder.
1,2731
Greatest Common Factor
We found the factors 872,2731 . The biggest common factor number is the GCF number.
So the greatest common factor 872,2731 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 5587/872, 3335/2731?
Answer: LCM of Numerators as per given numbers 5587/872, 3335/2731 is
LCM of Numerators i.e. for 5587,3335 is 18632645
GCF of denominators i.e. for 872,2731 is 1.
Thus, LCM of Fractions is 18632645.Finally, LCM of Fractions for 5587/872, 3335/2731 is 18632645.