Least Common Multiple of 513/27, 686/5171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/27, 686/5171 quickly i.e. 351918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/27, 686/5171 is 351918.

LCM(513/27, 686/5171) = 351918

LCM of 513/27, 686/5171

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 513/27,686/5171

Given numbers are 513/27,686/5171

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 513,686

Least Common Multiple of Numerators i.e. LCM of 513,686 is 351918.

GCF of Denominators means GCF of 27,5171 as per the given fractions.

GCF of 27,5171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,686

LCM of Fractions 513/27,686/5171 is 351918

Given numbers has no common factors except 1. So, there LCM is their product i.e 351918

Least Common Multiple of 513,686 with GCF Formula

Least Common Multiple of 513,686 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 513,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,686) = 1

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

GCF(513,686) x common factors =1 x 1 = 1

LCM(513,686) = ( 513 × 686 ) / 1

LCM(513,686) = 351918 / 1

LCM(513,686) = 351918


Lets's calculate GCF of 27,5171

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 351918/1

Therefore the LCM of Fractions 513/27,686/5171 is 351918

Greatest Common Factor of 27,5171 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,5171 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 5171

List of positive integer factors of 5171 that divides 5171 without a remainder.

1,5171

Greatest Common Factor

We found the factors 27,5171 . The biggest common factor number is the GCF number.
So the greatest common factor 27,5171 is 1.


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 513/27, 686/5171

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 513/27, 686/5171?

Answer: LCM of Numerators as per given numbers 513/27, 686/5171 is

LCM of Numerators i.e. for 513,686 is 351918

GCF of denominators i.e. for 27,5171 is 1.

Thus, LCM of Fractions is 351918.Finally, LCM of Fractions for 513/27, 686/5171 is 351918.