Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/501, 6034/2837 quickly i.e. 319802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/501, 6034/2837 is 319802.
LCM(53/501, 6034/2837) = 319802
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/501,6034/2837
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 53,6034
Least Common Multiple of Numerators i.e. LCM of 53,6034 is 319802.
GCF of Denominators means GCF of 501,2837 as per the given fractions.
GCF of 501,2837 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,6034
Given numbers has no common factors except 1. So, there LCM is their product i.e 319802
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 53,6034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,6034) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,6034) x common factors =1 x 1 = 1
LCM(53,6034) = ( 53 × 6034 ) / 1
LCM(53,6034) = 319802 / 1
LCM(53,6034) = 319802
Lets's calculate GCF of 501,2837
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319802/1
Therefore the LCM of Fractions 53/501,6034/2837 is 319802
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 2837
List of positive integer factors of 2837 that divides 2837 without a remainder.
1,2837
Greatest Common Factor
We found the factors 501,2837 . The biggest common factor number is the GCF number.
So the greatest common factor 501,2837 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 53/501, 6034/2837?
Answer: LCM of Numerators as per given numbers 53/501, 6034/2837 is
LCM of Numerators i.e. for 53,6034 is 319802
GCF of denominators i.e. for 501,2837 is 1.
Thus, LCM of Fractions is 319802.Finally, LCM of Fractions for 53/501, 6034/2837 is 319802.