Least Common Multiple of 13/518, 2723/2051

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/518, 2723/2051 quickly i.e. 5057 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/518, 2723/2051 is 5057.

LCM(13/518, 2723/2051) = 5057

LCM of 13/518, 2723/2051

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 13/518,2723/2051

Given numbers are 13/518,2723/2051

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 13,2723

Least Common Multiple of Numerators i.e. LCM of 13,2723 is 35399.

GCF of Denominators means GCF of 518,2051 as per the given fractions.

GCF of 518,2051 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,2723

LCM of Fractions 13/518,2723/2051 is 5057

Given numbers has no common factors except 1. So, there LCM is their product i.e 35399

Least Common Multiple of 13,2723 with GCF Formula

Least Common Multiple of 13,2723 with GCF Formula

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 13,2723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,2723) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(13,2723) x common factors =1 x 1 = 1

LCM(13,2723) = ( 13 × 2723 ) / 1

LCM(13,2723) = 35399 / 1

LCM(13,2723) = 35399


Lets's calculate GCF of 518,2051

7 518, 2051
74, 293

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35399/7

Therefore the LCM of Fractions 13/518,2723/2051 is 5057

Greatest Common Factor of 518,2051 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,2051 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 2051

List of positive integer factors of 2051 that divides 2051 without a remainder.

1,7,293,2051

Greatest Common Factor

We found the factors 518,2051 . The biggest common factor number is the GCF number.
So the greatest common factor 518,2051 is 7.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 13/518, 2723/2051

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 13/518, 2723/2051?

Answer: LCM of Numerators as per given numbers 13/518, 2723/2051 is

LCM of Numerators i.e. for 13,2723 is 35399

GCF of denominators i.e. for 518,2051 is 7.

Thus, LCM of Fractions is 5057.Finally, LCM of Fractions for 13/518, 2723/2051 is 5057.