Least Common Multiple of 583/387, 243/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 583/387, 243/732 quickly i.e. 47223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 583/387, 243/732 is 47223.

LCM(583/387, 243/732) = 47223

LCM of 583/387, 243/732

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 583/387,243/732

Given numbers are 583/387,243/732

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 583,243

Least Common Multiple of Numerators i.e. LCM of 583,243 is 141669.

GCF of Denominators means GCF of 387,732 as per the given fractions.

GCF of 387,732 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,243

LCM of Fractions 583/387,243/732 is 47223

Given numbers has no common factors except 1. So, there LCM is their product i.e 141669

Least Common Multiple of 583,243 with GCF Formula

Least Common Multiple of 583,243 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 583,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,243) = 1

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

GCF(583,243) x common factors =1 x 1 = 1

LCM(583,243) = ( 583 × 243 ) / 1

LCM(583,243) = 141669 / 1

LCM(583,243) = 141669


Lets's calculate GCF of 387,732

3 387, 732
129, 244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141669/3

Therefore the LCM of Fractions 583/387,243/732 is 47223

Greatest Common Factor of 387,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,732 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 387,732 . The biggest common factor number is the GCF number.
So the greatest common factor 387,732 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 583/387, 243/732

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 583/387, 243/732?

Answer: LCM of Numerators as per given numbers 583/387, 243/732 is

LCM of Numerators i.e. for 583,243 is 141669

GCF of denominators i.e. for 387,732 is 3.

Thus, LCM of Fractions is 47223.Finally, LCM of Fractions for 583/387, 243/732 is 47223.