Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 479/63, 512/9431 quickly i.e. 245248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 479/63, 512/9431 is 245248.
LCM(479/63, 512/9431) = 245248
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 479/63,512/9431
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 479,512
Least Common Multiple of Numerators i.e. LCM of 479,512 is 245248.
GCF of Denominators means GCF of 63,9431 as per the given fractions.
GCF of 63,9431 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 479,512
Given numbers has no common factors except 1. So, there LCM is their product i.e 245248
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 479,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,512) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,512) x common factors =1 x 1 = 1
LCM(479,512) = ( 479 × 512 ) / 1
LCM(479,512) = 245248 / 1
LCM(479,512) = 245248
Lets's calculate GCF of 63,9431
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245248/1
Therefore the LCM of Fractions 479/63,512/9431 is 245248
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 9431
List of positive integer factors of 9431 that divides 9431 without a remainder.
1,9431
Greatest Common Factor
We found the factors 63,9431 . The biggest common factor number is the GCF number.
So the greatest common factor 63,9431 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 479/63, 512/9431?
Answer: LCM of Numerators as per given numbers 479/63, 512/9431 is
LCM of Numerators i.e. for 479,512 is 245248
GCF of denominators i.e. for 63,9431 is 1.
Thus, LCM of Fractions is 245248.Finally, LCM of Fractions for 479/63, 512/9431 is 245248.