Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5507/516, 2451/2801 quickly i.e. 13497657 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5507/516, 2451/2801 is 13497657.
LCM(5507/516, 2451/2801) = 13497657
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5507/516,2451/2801
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 5507,2451
Least Common Multiple of Numerators i.e. LCM of 5507,2451 is 13497657.
GCF of Denominators means GCF of 516,2801 as per the given fractions.
GCF of 516,2801 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5507,2451
Given numbers has no common factors except 1. So, there LCM is their product i.e 13497657
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 5507,2451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5507,2451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5507,2451) x common factors =1 x 1 = 1
LCM(5507,2451) = ( 5507 × 2451 ) / 1
LCM(5507,2451) = 13497657 / 1
LCM(5507,2451) = 13497657
Lets's calculate GCF of 516,2801
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13497657/1
Therefore the LCM of Fractions 5507/516,2451/2801 is 13497657
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 2801
List of positive integer factors of 2801 that divides 2801 without a remainder.
1,2801
Greatest Common Factor
We found the factors 516,2801 . The biggest common factor number is the GCF number.
So the greatest common factor 516,2801 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 5507/516, 2451/2801?
Answer: LCM of Numerators as per given numbers 5507/516, 2451/2801 is
LCM of Numerators i.e. for 5507,2451 is 13497657
GCF of denominators i.e. for 516,2801 is 1.
Thus, LCM of Fractions is 13497657.Finally, LCM of Fractions for 5507/516, 2451/2801 is 13497657.