Least Common Multiple of 8211/243, 4473/4409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8211/243, 4473/4409 quickly i.e. 1748943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8211/243, 4473/4409 is 1748943.

LCM(8211/243, 4473/4409) = 1748943

LCM of 8211/243, 4473/4409

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 8211/243,4473/4409

Given numbers are 8211/243,4473/4409

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 8211,4473

Least Common Multiple of Numerators i.e. LCM of 8211,4473 is 1748943.

GCF of Denominators means GCF of 243,4409 as per the given fractions.

GCF of 243,4409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8211,4473

LCM of Fractions 8211/243,4473/4409 is 1748943

3 8211, 4473
7 2737, 1491
391, 213

∴ So the LCM of the given numbers is 3 x 7 x 391 x 213 = 1748943

Least Common Multiple of 8211,4473 with GCF Formula

Least Common Multiple of 8211,4473 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 8211,4473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8211,4473) = 21

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

GCF(8211,4473) x common factors =21 x 1 = 21

LCM(8211,4473) = ( 8211 × 4473 ) / 21

LCM(8211,4473) = 36727803 / 21

LCM(8211,4473) = 1748943


Lets's calculate GCF of 243,4409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1748943/1

Therefore the LCM of Fractions 8211/243,4473/4409 is 1748943

Greatest Common Factor of 243,4409 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,4409 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 4409

List of positive integer factors of 4409 that divides 4409 without a remainder.

1,4409

Greatest Common Factor

We found the factors 243,4409 . The biggest common factor number is the GCF number.
So the greatest common factor 243,4409 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8211/243, 4473/4409

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 8211/243, 4473/4409?

Answer: LCM of Numerators as per given numbers 8211/243, 4473/4409 is

LCM of Numerators i.e. for 8211,4473 is 1748943

GCF of denominators i.e. for 243,4409 is 1.

Thus, LCM of Fractions is 1748943.Finally, LCM of Fractions for 8211/243, 4473/4409 is 1748943.