Least Common Multiple of 18/199, 11/824, 418/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/199, 11/824, 418/563 quickly i.e. 3762 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/199, 11/824, 418/563 is 3762.

LCM(18/199, 11/824, 418/563) = 3762

LCM of 18/199, 11/824, 418/563

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 18/199,11/824,418/563

Given numbers are 18/199,11/824,418/563

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 18,11,418

Least Common Multiple of Numerators i.e. LCM of 18,11,418 is 3762.

GCF of Denominators means GCF of 199,824,563 as per the given fractions.

GCF of 199,824,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,11,418

LCM of Fractions 18/199,11/824,418/563 is 3762

2 18, 11, 418
11 9, 11, 209
9, 1, 19

∴ So the LCM of the given numbers is 2 x 11 x 9 x 1 x 19 = 3762

Least Common Multiple of 18,11,418 with GCF Formula

Least Common Multiple of 18,11,418 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 18,11,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,11,418) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(18,11,418) x common factors =1 x 22 = 22

LCM(18,11,418) = ( 18 × 11 × 418 ) / 22

LCM(18,11,418) = 82764 / 22

LCM(18,11,418) = 3762


Lets's calculate GCF of 199,824,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3762/1

Therefore the LCM of Fractions 18/199,11/824,418/563 is 3762

Greatest Common Factor of 199,824,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,824,563 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 199,824,563 . The biggest common factor number is the GCF number.
So the greatest common factor 199,824,563 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 18/199, 11/824, 418/563

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 18/199, 11/824, 418/563?

Answer: LCM of Numerators as per given numbers 18/199, 11/824, 418/563 is

LCM of Numerators i.e. for 18,11,418 is 3762

GCF of denominators i.e. for 199,824,563 is 1.

Thus, LCM of Fractions is 3762.Finally, LCM of Fractions for 18/199, 11/824, 418/563 is 3762.