Least Common Multiple of 186/421, 493/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 186/421, 493/819 quickly i.e. 91698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 186/421, 493/819 is 91698.

LCM(186/421, 493/819) = 91698

LCM of 186/421, 493/819

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 186/421,493/819

Given numbers are 186/421,493/819

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 186,493

Least Common Multiple of Numerators i.e. LCM of 186,493 is 91698.

GCF of Denominators means GCF of 421,819 as per the given fractions.

GCF of 421,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 186,493

LCM of Fractions 186/421,493/819 is 91698

Given numbers has no common factors except 1. So, there LCM is their product i.e 91698

Least Common Multiple of 186,493 with GCF Formula

Least Common Multiple of 186,493 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 186,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,493) = 1

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

GCF(186,493) x common factors =1 x 1 = 1

LCM(186,493) = ( 186 × 493 ) / 1

LCM(186,493) = 91698 / 1

LCM(186,493) = 91698


Lets's calculate GCF of 421,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91698/1

Therefore the LCM of Fractions 186/421,493/819 is 91698

Greatest Common Factor of 421,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,819 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 421,819 . The biggest common factor number is the GCF number.
So the greatest common factor 421,819 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 186/421, 493/819

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 186/421, 493/819?

Answer: LCM of Numerators as per given numbers 186/421, 493/819 is

LCM of Numerators i.e. for 186,493 is 91698

GCF of denominators i.e. for 421,819 is 1.

Thus, LCM of Fractions is 91698.Finally, LCM of Fractions for 186/421, 493/819 is 91698.