Least Common Multiple of 38/243, 6991/2577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/243, 6991/2577 quickly i.e. 265658/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/243, 6991/2577 is 265658/3.

LCM(38/243, 6991/2577) = 265658/3

LCM of 38/243, 6991/2577

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 38/243,6991/2577

Given numbers are 38/243,6991/2577

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 38,6991

Least Common Multiple of Numerators i.e. LCM of 38,6991 is 265658.

GCF of Denominators means GCF of 243,2577 as per the given fractions.

GCF of 243,2577 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,6991

LCM of Fractions 38/243,6991/2577 is 265658/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 265658

Least Common Multiple of 38,6991 with GCF Formula

Least Common Multiple of 38,6991 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 38,6991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,6991) = 1

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

GCF(38,6991) x common factors =1 x 1 = 1

LCM(38,6991) = ( 38 × 6991 ) / 1

LCM(38,6991) = 265658 / 1

LCM(38,6991) = 265658


Lets's calculate GCF of 243,2577

3 243, 2577
81, 859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265658/3

Therefore the LCM of Fractions 38/243,6991/2577 is 265658/3

Greatest Common Factor of 243,2577 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,2577 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 2577

List of positive integer factors of 2577 that divides 2577 without a remainder.

1,3,859,2577

Greatest Common Factor

We found the factors 243,2577 . The biggest common factor number is the GCF number.
So the greatest common factor 243,2577 is 3.


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 38/243, 6991/2577

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 38/243, 6991/2577?

Answer: LCM of Numerators as per given numbers 38/243, 6991/2577 is

LCM of Numerators i.e. for 38,6991 is 265658

GCF of denominators i.e. for 243,2577 is 3.

Thus, LCM of Fractions is 265658/3.Finally, LCM of Fractions for 38/243, 6991/2577 is 265658/3.