Least Common Multiple of 591/486, 3757/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 591/486, 3757/243 quickly i.e. 2220387/243 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 591/486, 3757/243 is 2220387/243.

LCM(591/486, 3757/243) = 2220387/243

LCM of 591/486, 3757/243

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 591/486,3757/243

Given numbers are 591/486,3757/243

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 591,3757

Least Common Multiple of Numerators i.e. LCM of 591,3757 is 2220387.

GCF of Denominators means GCF of 486,243 as per the given fractions.

GCF of 486,243 is 243 as it is the largest common factor for these numbers.

Lets's calculate LCM of 591,3757

LCM of Fractions 591/486,3757/243 is 2220387/243

Given numbers has no common factors except 1. So, there LCM is their product i.e 2220387

Least Common Multiple of 591,3757 with GCF Formula

Least Common Multiple of 591,3757 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 591,3757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,3757) = 1

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

GCF(591,3757) x common factors =1 x 1 = 1

LCM(591,3757) = ( 591 × 3757 ) / 1

LCM(591,3757) = 2220387 / 1

LCM(591,3757) = 2220387


Lets's calculate GCF of 486,243

3 486, 243
3 162, 81
3 54, 27
3 18, 9
3 6, 3
2, 1

∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 x 3 = 243

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2220387/243

Therefore the LCM of Fractions 591/486,3757/243 is 2220387/243

Greatest Common Factor of 486,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,243 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 243

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

1,3,9,27,81,243

Greatest Common Factor

We found the factors 486,243 . The biggest common factor number is the GCF number.
So the greatest common factor 486,243 is 243.


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 591/486, 3757/243

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 591/486, 3757/243?

Answer: LCM of Numerators as per given numbers 591/486, 3757/243 is

LCM of Numerators i.e. for 591,3757 is 2220387

GCF of denominators i.e. for 486,243 is 243.

Thus, LCM of Fractions is 2220387/243.Finally, LCM of Fractions for 591/486, 3757/243 is 2220387/243.