Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8128/659, 4404/3725 quickly i.e. 8948928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8128/659, 4404/3725 is 8948928.
LCM(8128/659, 4404/3725) = 8948928
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8128/659,4404/3725
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 8128,4404
Least Common Multiple of Numerators i.e. LCM of 8128,4404 is 8948928.
GCF of Denominators means GCF of 659,3725 as per the given fractions.
GCF of 659,3725 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8128,4404
2 | 8128, 4404 |
2 | 4064, 2202 |
2032, 1101 |
∴ So the LCM of the given numbers is 2 x 2 x 2032 x 1101 = 8948928
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 8128,4404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8128,4404) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(8128,4404) x common factors =4 x 1 = 4
LCM(8128,4404) = ( 8128 × 4404 ) / 4
LCM(8128,4404) = 35795712 / 4
LCM(8128,4404) = 8948928
Lets's calculate GCF of 659,3725
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8948928/1
Therefore the LCM of Fractions 8128/659,4404/3725 is 8948928
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 3725
List of positive integer factors of 3725 that divides 3725 without a remainder.
1,5,25,149,745,3725
Greatest Common Factor
We found the factors 659,3725 . The biggest common factor number is the GCF number.
So the greatest common factor 659,3725 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 8128/659, 4404/3725?
Answer: LCM of Numerators as per given numbers 8128/659, 4404/3725 is
LCM of Numerators i.e. for 8128,4404 is 8948928
GCF of denominators i.e. for 659,3725 is 1.
Thus, LCM of Fractions is 8948928.Finally, LCM of Fractions for 8128/659, 4404/3725 is 8948928.