Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 504/596, 8029/2949 quickly i.e. 578088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 504/596, 8029/2949 is 578088.
LCM(504/596, 8029/2949) = 578088
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 504/596,8029/2949
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 504,8029
Least Common Multiple of Numerators i.e. LCM of 504,8029 is 578088.
GCF of Denominators means GCF of 596,2949 as per the given fractions.
GCF of 596,2949 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 504,8029
7 | 504, 8029 |
72, 1147 |
∴ So the LCM of the given numbers is 7 x 72 x 1147 = 578088
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 504,8029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,8029) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(504,8029) x common factors =7 x 1 = 7
LCM(504,8029) = ( 504 × 8029 ) / 7
LCM(504,8029) = 4046616 / 7
LCM(504,8029) = 578088
Lets's calculate GCF of 596,2949
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 578088/1
Therefore the LCM of Fractions 504/596,8029/2949 is 578088
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 2949
List of positive integer factors of 2949 that divides 2949 without a remainder.
1,3,983,2949
Greatest Common Factor
We found the factors 596,2949 . The biggest common factor number is the GCF number.
So the greatest common factor 596,2949 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 504/596, 8029/2949?
Answer: LCM of Numerators as per given numbers 504/596, 8029/2949 is
LCM of Numerators i.e. for 504,8029 is 578088
GCF of denominators i.e. for 596,2949 is 1.
Thus, LCM of Fractions is 578088.Finally, LCM of Fractions for 504/596, 8029/2949 is 578088.