Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4504/981, 8909/4032 quickly i.e. 40126136/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4504/981, 8909/4032 is 40126136/9.
LCM(4504/981, 8909/4032) = 40126136/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4504/981,8909/4032
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 4504,8909
Least Common Multiple of Numerators i.e. LCM of 4504,8909 is 40126136.
GCF of Denominators means GCF of 981,4032 as per the given fractions.
GCF of 981,4032 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4504,8909
Given numbers has no common factors except 1. So, there LCM is their product i.e 40126136
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 4504,8909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4504,8909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4504,8909) x common factors =1 x 1 = 1
LCM(4504,8909) = ( 4504 × 8909 ) / 1
LCM(4504,8909) = 40126136 / 1
LCM(4504,8909) = 40126136
Lets's calculate GCF of 981,4032
3 | 981, 4032 |
3 | 327, 1344 |
109, 448 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40126136/9
Therefore the LCM of Fractions 4504/981,8909/4032 is 40126136/9
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 4032
List of positive integer factors of 4032 that divides 4032 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,144,168,192,224,252,288,336,448,504,576,672,1008,1344,2016,4032
Greatest Common Factor
We found the factors 981,4032 . The biggest common factor number is the GCF number.
So the greatest common factor 981,4032 is 9.
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 4504/981, 8909/4032?
Answer: LCM of Numerators as per given numbers 4504/981, 8909/4032 is
LCM of Numerators i.e. for 4504,8909 is 40126136
GCF of denominators i.e. for 981,4032 is 9.
Thus, LCM of Fractions is 40126136/9.Finally, LCM of Fractions for 4504/981, 8909/4032 is 40126136/9.