Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 344/361, 9071/2482 quickly i.e. 3120424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 344/361, 9071/2482 is 3120424.
LCM(344/361, 9071/2482) = 3120424
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 344/361,9071/2482
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 344,9071
Least Common Multiple of Numerators i.e. LCM of 344,9071 is 3120424.
GCF of Denominators means GCF of 361,2482 as per the given fractions.
GCF of 361,2482 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 344,9071
Given numbers has no common factors except 1. So, there LCM is their product i.e 3120424
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 344,9071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,9071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(344,9071) x common factors =1 x 1 = 1
LCM(344,9071) = ( 344 × 9071 ) / 1
LCM(344,9071) = 3120424 / 1
LCM(344,9071) = 3120424
Lets's calculate GCF of 361,2482
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3120424/1
Therefore the LCM of Fractions 344/361,9071/2482 is 3120424
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Factors of 2482
List of positive integer factors of 2482 that divides 2482 without a remainder.
1,2,17,34,73,146,1241,2482
Greatest Common Factor
We found the factors 361,2482 . The biggest common factor number is the GCF number.
So the greatest common factor 361,2482 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 344/361, 9071/2482?
Answer: LCM of Numerators as per given numbers 344/361, 9071/2482 is
LCM of Numerators i.e. for 344,9071 is 3120424
GCF of denominators i.e. for 361,2482 is 1.
Thus, LCM of Fractions is 3120424.Finally, LCM of Fractions for 344/361, 9071/2482 is 3120424.