Least Common Multiple of 21/243, 584/899, 645/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/243, 584/899, 645/386 quickly i.e. 2636760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/243, 584/899, 645/386 is 2636760.

LCM(21/243, 584/899, 645/386) = 2636760

LCM of 21/243, 584/899, 645/386

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 21/243,584/899,645/386

Given numbers are 21/243,584/899,645/386

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 21,584,645

Least Common Multiple of Numerators i.e. LCM of 21,584,645 is 2636760.

GCF of Denominators means GCF of 243,899,386 as per the given fractions.

GCF of 243,899,386 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,584,645

LCM of Fractions 21/243,584/899,645/386 is 2636760

3 21, 584, 645
7, 584, 215

∴ So the LCM of the given numbers is 3 x 7 x 584 x 215 = 2636760

Least Common Multiple of 21,584,645 with GCF Formula

Least Common Multiple of 21,584,645 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 21,584,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,584,645) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,584,645) x common factors =1 x 3 = 3

LCM(21,584,645) = ( 21 × 584 × 645 ) / 3

LCM(21,584,645) = 7910280 / 3

LCM(21,584,645) = 2636760


Lets's calculate GCF of 243,899,386

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2636760/1

Therefore the LCM of Fractions 21/243,584/899,645/386 is 2636760

Greatest Common Factor of 243,899,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,899,386 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 243,899,386 . The biggest common factor number is the GCF number.
So the greatest common factor 243,899,386 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 21/243, 584/899, 645/386

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 21/243, 584/899, 645/386?

Answer: LCM of Numerators as per given numbers 21/243, 584/899, 645/386 is

LCM of Numerators i.e. for 21,584,645 is 2636760

GCF of denominators i.e. for 243,899,386 is 1.

Thus, LCM of Fractions is 2636760.Finally, LCM of Fractions for 21/243, 584/899, 645/386 is 2636760.