Least Common Multiple of 243/27, 547/4011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 243/27, 547/4011 quickly i.e. 44307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/27, 547/4011 is 44307.

LCM(243/27, 547/4011) = 44307

LCM of 243/27, 547/4011

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 243/27,547/4011

Given numbers are 243/27,547/4011

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 243,547

Least Common Multiple of Numerators i.e. LCM of 243,547 is 132921.

GCF of Denominators means GCF of 27,4011 as per the given fractions.

GCF of 27,4011 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,547

LCM of Fractions 243/27,547/4011 is 44307

Given numbers has no common factors except 1. So, there LCM is their product i.e 132921

Least Common Multiple of 243,547 with GCF Formula

Least Common Multiple of 243,547 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 243,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,547) = 1

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

GCF(243,547) x common factors =1 x 1 = 1

LCM(243,547) = ( 243 × 547 ) / 1

LCM(243,547) = 132921 / 1

LCM(243,547) = 132921


Lets's calculate GCF of 27,4011

3 27, 4011
9, 1337

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132921/3

Therefore the LCM of Fractions 243/27,547/4011 is 44307

Greatest Common Factor of 27,4011 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,4011 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 4011

List of positive integer factors of 4011 that divides 4011 without a remainder.

1,3,7,21,191,573,1337,4011

Greatest Common Factor

We found the factors 27,4011 . The biggest common factor number is the GCF number.
So the greatest common factor 27,4011 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 243/27, 547/4011

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 243/27, 547/4011?

Answer: LCM of Numerators as per given numbers 243/27, 547/4011 is

LCM of Numerators i.e. for 243,547 is 132921

GCF of denominators i.e. for 27,4011 is 3.

Thus, LCM of Fractions is 44307.Finally, LCM of Fractions for 243/27, 547/4011 is 44307.