Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 409/434, 5894/2245 quickly i.e. 2410646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 409/434, 5894/2245 is 2410646.
LCM(409/434, 5894/2245) = 2410646
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 409/434,5894/2245
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 409,5894
Least Common Multiple of Numerators i.e. LCM of 409,5894 is 2410646.
GCF of Denominators means GCF of 434,2245 as per the given fractions.
GCF of 434,2245 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 409,5894
Given numbers has no common factors except 1. So, there LCM is their product i.e 2410646
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 409,5894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,5894) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,5894) x common factors =1 x 1 = 1
LCM(409,5894) = ( 409 × 5894 ) / 1
LCM(409,5894) = 2410646 / 1
LCM(409,5894) = 2410646
Lets's calculate GCF of 434,2245
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2410646/1
Therefore the LCM of Fractions 409/434,5894/2245 is 2410646
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 2245
List of positive integer factors of 2245 that divides 2245 without a remainder.
1,5,449,2245
Greatest Common Factor
We found the factors 434,2245 . The biggest common factor number is the GCF number.
So the greatest common factor 434,2245 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 409/434, 5894/2245?
Answer: LCM of Numerators as per given numbers 409/434, 5894/2245 is
LCM of Numerators i.e. for 409,5894 is 2410646
GCF of denominators i.e. for 434,2245 is 1.
Thus, LCM of Fractions is 2410646.Finally, LCM of Fractions for 409/434, 5894/2245 is 2410646.