Least Common Multiple of 21/219, 31/511, 893/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/219, 31/511, 893/439 quickly i.e. 581343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/219, 31/511, 893/439 is 581343.

LCM(21/219, 31/511, 893/439) = 581343

LCM of 21/219, 31/511, 893/439

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 21/219,31/511,893/439

Given numbers are 21/219,31/511,893/439

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 21,31,893

Least Common Multiple of Numerators i.e. LCM of 21,31,893 is 581343.

GCF of Denominators means GCF of 219,511,439 as per the given fractions.

GCF of 219,511,439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,31,893

LCM of Fractions 21/219,31/511,893/439 is 581343

Given numbers has no common factors except 1. So, there LCM is their product i.e 581343

Least Common Multiple of 21,31,893 with GCF Formula

Least Common Multiple of 21,31,893 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 21,31,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,31,893) = 1

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

GCF(21,31,893) x common factors =1 x 1 = 1

LCM(21,31,893) = ( 21 × 31 × 893 ) / 1

LCM(21,31,893) = 581343 / 1

LCM(21,31,893) = 581343


Lets's calculate GCF of 219,511,439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 581343/1

Therefore the LCM of Fractions 21/219,31/511,893/439 is 581343

Greatest Common Factor of 219,511,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,511,439 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 219,511,439 . The biggest common factor number is the GCF number.
So the greatest common factor 219,511,439 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 21/219, 31/511, 893/439

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 21/219, 31/511, 893/439?

Answer: LCM of Numerators as per given numbers 21/219, 31/511, 893/439 is

LCM of Numerators i.e. for 21,31,893 is 581343

GCF of denominators i.e. for 219,511,439 is 1.

Thus, LCM of Fractions is 581343.Finally, LCM of Fractions for 21/219, 31/511, 893/439 is 581343.