Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 594/501, 9649/2519 quickly i.e. 5731506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 594/501, 9649/2519 is 5731506.
LCM(594/501, 9649/2519) = 5731506
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 594/501,9649/2519
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 594,9649
Least Common Multiple of Numerators i.e. LCM of 594,9649 is 5731506.
GCF of Denominators means GCF of 501,2519 as per the given fractions.
GCF of 501,2519 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 594,9649
Given numbers has no common factors except 1. So, there LCM is their product i.e 5731506
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 594,9649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,9649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(594,9649) x common factors =1 x 1 = 1
LCM(594,9649) = ( 594 × 9649 ) / 1
LCM(594,9649) = 5731506 / 1
LCM(594,9649) = 5731506
Lets's calculate GCF of 501,2519
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5731506/1
Therefore the LCM of Fractions 594/501,9649/2519 is 5731506
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 2519
List of positive integer factors of 2519 that divides 2519 without a remainder.
1,11,229,2519
Greatest Common Factor
We found the factors 501,2519 . The biggest common factor number is the GCF number.
So the greatest common factor 501,2519 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 594/501, 9649/2519?
Answer: LCM of Numerators as per given numbers 594/501, 9649/2519 is
LCM of Numerators i.e. for 594,9649 is 5731506
GCF of denominators i.e. for 501,2519 is 1.
Thus, LCM of Fractions is 5731506.Finally, LCM of Fractions for 594/501, 9649/2519 is 5731506.