Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 761/589, 5464/433 quickly i.e. 4158104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 761/589, 5464/433 is 4158104.
LCM(761/589, 5464/433) = 4158104
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 761/589,5464/433
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 761,5464
Least Common Multiple of Numerators i.e. LCM of 761,5464 is 4158104.
GCF of Denominators means GCF of 589,433 as per the given fractions.
GCF of 589,433 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 761,5464
Given numbers has no common factors except 1. So, there LCM is their product i.e 4158104
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 761,5464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,5464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,5464) x common factors =1 x 1 = 1
LCM(761,5464) = ( 761 × 5464 ) / 1
LCM(761,5464) = 4158104 / 1
LCM(761,5464) = 4158104
Lets's calculate GCF of 589,433
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4158104/1
Therefore the LCM of Fractions 761/589,5464/433 is 4158104
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Greatest Common Factor
We found the factors 589,433 . The biggest common factor number is the GCF number.
So the greatest common factor 589,433 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 761/589, 5464/433?
Answer: LCM of Numerators as per given numbers 761/589, 5464/433 is
LCM of Numerators i.e. for 761,5464 is 4158104
GCF of denominators i.e. for 589,433 is 1.
Thus, LCM of Fractions is 4158104.Finally, LCM of Fractions for 761/589, 5464/433 is 4158104.