Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4575/939, 9171/8278 quickly i.e. 13985775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4575/939, 9171/8278 is 13985775.
LCM(4575/939, 9171/8278) = 13985775
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4575/939,9171/8278
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 4575,9171
Least Common Multiple of Numerators i.e. LCM of 4575,9171 is 13985775.
GCF of Denominators means GCF of 939,8278 as per the given fractions.
GCF of 939,8278 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4575,9171
3 | 4575, 9171 |
1525, 3057 |
∴ So the LCM of the given numbers is 3 x 1525 x 3057 = 13985775
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 4575,9171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4575,9171) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(4575,9171) x common factors =3 x 1 = 3
LCM(4575,9171) = ( 4575 × 9171 ) / 3
LCM(4575,9171) = 41957325 / 3
LCM(4575,9171) = 13985775
Lets's calculate GCF of 939,8278
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13985775/1
Therefore the LCM of Fractions 4575/939,9171/8278 is 13985775
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 8278
List of positive integer factors of 8278 that divides 8278 without a remainder.
1,2,4139,8278
Greatest Common Factor
We found the factors 939,8278 . The biggest common factor number is the GCF number.
So the greatest common factor 939,8278 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 4575/939, 9171/8278?
Answer: LCM of Numerators as per given numbers 4575/939, 9171/8278 is
LCM of Numerators i.e. for 4575,9171 is 13985775
GCF of denominators i.e. for 939,8278 is 1.
Thus, LCM of Fractions is 13985775.Finally, LCM of Fractions for 4575/939, 9171/8278 is 13985775.