Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 755/28, 887/4089 quickly i.e. 669685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 755/28, 887/4089 is 669685.
LCM(755/28, 887/4089) = 669685
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 755/28,887/4089
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 755,887
Least Common Multiple of Numerators i.e. LCM of 755,887 is 669685.
GCF of Denominators means GCF of 28,4089 as per the given fractions.
GCF of 28,4089 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 755,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 669685
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 755,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,887) x common factors =1 x 1 = 1
LCM(755,887) = ( 755 × 887 ) / 1
LCM(755,887) = 669685 / 1
LCM(755,887) = 669685
Lets's calculate GCF of 28,4089
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 669685/1
Therefore the LCM of Fractions 755/28,887/4089 is 669685
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 4089
List of positive integer factors of 4089 that divides 4089 without a remainder.
1,3,29,47,87,141,1363,4089
Greatest Common Factor
We found the factors 28,4089 . The biggest common factor number is the GCF number.
So the greatest common factor 28,4089 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 755/28, 887/4089?
Answer: LCM of Numerators as per given numbers 755/28, 887/4089 is
LCM of Numerators i.e. for 755,887 is 669685
GCF of denominators i.e. for 28,4089 is 1.
Thus, LCM of Fractions is 669685.Finally, LCM of Fractions for 755/28, 887/4089 is 669685.