Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 482/213, 193/361, 123/325 quickly i.e. 11442198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 482/213, 193/361, 123/325 is 11442198.
LCM(482/213, 193/361, 123/325) = 11442198
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 482/213,193/361,123/325
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 482,193,123
Least Common Multiple of Numerators i.e. LCM of 482,193,123 is 11442198.
GCF of Denominators means GCF of 213,361,325 as per the given fractions.
GCF of 213,361,325 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 482,193,123
Given numbers has no common factors except 1. So, there LCM is their product i.e 11442198
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 482,193,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,193,123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(482,193,123) x common factors =1 x 1 = 1
LCM(482,193,123) = ( 482 × 193 × 123 ) / 1
LCM(482,193,123) = 11442198 / 1
LCM(482,193,123) = 11442198
Lets's calculate GCF of 213,361,325
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11442198/1
Therefore the LCM of Fractions 482/213,193/361,123/325 is 11442198
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Greatest Common Factor
We found the factors 213,361,325 . The biggest common factor number is the GCF number.
So the greatest common factor 213,361,325 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 482/213, 193/361, 123/325?
Answer: LCM of Numerators as per given numbers 482/213, 193/361, 123/325 is
LCM of Numerators i.e. for 482,193,123 is 11442198
GCF of denominators i.e. for 213,361,325 is 1.
Thus, LCM of Fractions is 11442198.Finally, LCM of Fractions for 482/213, 193/361, 123/325 is 11442198.