Least Common Multiple of 409/27, 518/6373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/27, 518/6373 quickly i.e. 211862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/27, 518/6373 is 211862.

LCM(409/27, 518/6373) = 211862

LCM of 409/27, 518/6373

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 409/27,518/6373

Given numbers are 409/27,518/6373

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 409,518

Least Common Multiple of Numerators i.e. LCM of 409,518 is 211862.

GCF of Denominators means GCF of 27,6373 as per the given fractions.

GCF of 27,6373 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,518

LCM of Fractions 409/27,518/6373 is 211862

Given numbers has no common factors except 1. So, there LCM is their product i.e 211862

Least Common Multiple of 409,518 with GCF Formula

Least Common Multiple of 409,518 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 409,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,518) = 1

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

GCF(409,518) x common factors =1 x 1 = 1

LCM(409,518) = ( 409 × 518 ) / 1

LCM(409,518) = 211862 / 1

LCM(409,518) = 211862


Lets's calculate GCF of 27,6373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211862/1

Therefore the LCM of Fractions 409/27,518/6373 is 211862

Greatest Common Factor of 27,6373 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,6373 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 6373

List of positive integer factors of 6373 that divides 6373 without a remainder.

1,6373

Greatest Common Factor

We found the factors 27,6373 . The biggest common factor number is the GCF number.
So the greatest common factor 27,6373 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 409/27, 518/6373

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 409/27, 518/6373?

Answer: LCM of Numerators as per given numbers 409/27, 518/6373 is

LCM of Numerators i.e. for 409,518 is 211862

GCF of denominators i.e. for 27,6373 is 1.

Thus, LCM of Fractions is 211862.Finally, LCM of Fractions for 409/27, 518/6373 is 211862.