Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4135/960, 4143/300 quickly i.e. 17131305/60 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4135/960, 4143/300 is 17131305/60.
LCM(4135/960, 4143/300) = 17131305/60
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4135/960,4143/300
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 4135,4143
Least Common Multiple of Numerators i.e. LCM of 4135,4143 is 17131305.
GCF of Denominators means GCF of 960,300 as per the given fractions.
GCF of 960,300 is 60 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4135,4143
Given numbers has no common factors except 1. So, there LCM is their product i.e 17131305
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 4135,4143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4135,4143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4135,4143) x common factors =1 x 1 = 1
LCM(4135,4143) = ( 4135 × 4143 ) / 1
LCM(4135,4143) = 17131305 / 1
LCM(4135,4143) = 17131305
Lets's calculate GCF of 960,300
2 | 960, 300 |
2 | 480, 150 |
3 | 240, 75 |
5 | 80, 25 |
16, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17131305/60
Therefore the LCM of Fractions 4135/960,4143/300 is 17131305/60
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 960,300 . The biggest common factor number is the GCF number.
So the greatest common factor 960,300 is 60.
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 4135/960, 4143/300?
Answer: LCM of Numerators as per given numbers 4135/960, 4143/300 is
LCM of Numerators i.e. for 4135,4143 is 17131305
GCF of denominators i.e. for 960,300 is 60.
Thus, LCM of Fractions is 17131305/60.Finally, LCM of Fractions for 4135/960, 4143/300 is 17131305/60.