Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8925/363, 5769/5481 quickly i.e. 5720925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8925/363, 5769/5481 is 5720925.
LCM(8925/363, 5769/5481) = 5720925
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8925/363,5769/5481
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 8925,5769
Least Common Multiple of Numerators i.e. LCM of 8925,5769 is 17162775.
GCF of Denominators means GCF of 363,5481 as per the given fractions.
GCF of 363,5481 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8925,5769
3 | 8925, 5769 |
2975, 1923 |
∴ So the LCM of the given numbers is 3 x 2975 x 1923 = 17162775
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 8925,5769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8925,5769) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8925,5769) x common factors =3 x 1 = 3
LCM(8925,5769) = ( 8925 × 5769 ) / 3
LCM(8925,5769) = 51488325 / 3
LCM(8925,5769) = 17162775
Lets's calculate GCF of 363,5481
3 | 363, 5481 |
121, 1827 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17162775/3
Therefore the LCM of Fractions 8925/363,5769/5481 is 5720925
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 5481
List of positive integer factors of 5481 that divides 5481 without a remainder.
1,3,7,9,21,27,29,63,87,189,203,261,609,783,1827,5481
Greatest Common Factor
We found the factors 363,5481 . The biggest common factor number is the GCF number.
So the greatest common factor 363,5481 is 3.
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 8925/363, 5769/5481?
Answer: LCM of Numerators as per given numbers 8925/363, 5769/5481 is
LCM of Numerators i.e. for 8925,5769 is 17162775
GCF of denominators i.e. for 363,5481 is 3.
Thus, LCM of Fractions is 5720925.Finally, LCM of Fractions for 8925/363, 5769/5481 is 5720925.