Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1507/506, 5263/3558 quickly i.e. 7931341/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1507/506, 5263/3558 is 7931341/2.
LCM(1507/506, 5263/3558) = 7931341/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1507/506,5263/3558
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 1507,5263
Least Common Multiple of Numerators i.e. LCM of 1507,5263 is 7931341.
GCF of Denominators means GCF of 506,3558 as per the given fractions.
GCF of 506,3558 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1507,5263
Given numbers has no common factors except 1. So, there LCM is their product i.e 7931341
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 1507,5263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1507,5263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1507,5263) x common factors =1 x 1 = 1
LCM(1507,5263) = ( 1507 × 5263 ) / 1
LCM(1507,5263) = 7931341 / 1
LCM(1507,5263) = 7931341
Lets's calculate GCF of 506,3558
2 | 506, 3558 |
253, 1779 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7931341/2
Therefore the LCM of Fractions 1507/506,5263/3558 is 7931341/2
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 3558
List of positive integer factors of 3558 that divides 3558 without a remainder.
1,2,3,6,593,1186,1779,3558
Greatest Common Factor
We found the factors 506,3558 . The biggest common factor number is the GCF number.
So the greatest common factor 506,3558 is 2.
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 1507/506, 5263/3558?
Answer: LCM of Numerators as per given numbers 1507/506, 5263/3558 is
LCM of Numerators i.e. for 1507,5263 is 7931341
GCF of denominators i.e. for 506,3558 is 2.
Thus, LCM of Fractions is 7931341/2.Finally, LCM of Fractions for 1507/506, 5263/3558 is 7931341/2.