Least Common Multiple of 2915/243, 5291/6942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2915/243, 5291/6942 quickly i.e. 1402115/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2915/243, 5291/6942 is 1402115/3.

LCM(2915/243, 5291/6942) = 1402115/3

LCM of 2915/243, 5291/6942

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 2915/243,5291/6942

Given numbers are 2915/243,5291/6942

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 2915,5291

Least Common Multiple of Numerators i.e. LCM of 2915,5291 is 1402115.

GCF of Denominators means GCF of 243,6942 as per the given fractions.

GCF of 243,6942 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2915,5291

LCM of Fractions 2915/243,5291/6942 is 1402115/3

11 2915, 5291
265, 481

∴ So the LCM of the given numbers is 11 x 265 x 481 = 1402115

Least Common Multiple of 2915,5291 with GCF Formula

Least Common Multiple of 2915,5291 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 2915,5291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2915,5291) = 11

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

GCF(2915,5291) x common factors =11 x 1 = 11

LCM(2915,5291) = ( 2915 × 5291 ) / 11

LCM(2915,5291) = 15423265 / 11

LCM(2915,5291) = 1402115


Lets's calculate GCF of 243,6942

3 243, 6942
81, 2314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1402115/3

Therefore the LCM of Fractions 2915/243,5291/6942 is 1402115/3

Greatest Common Factor of 243,6942 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,6942 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 6942

List of positive integer factors of 6942 that divides 6942 without a remainder.

1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942

Greatest Common Factor

We found the factors 243,6942 . The biggest common factor number is the GCF number.
So the greatest common factor 243,6942 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 2915/243, 5291/6942

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 2915/243, 5291/6942?

Answer: LCM of Numerators as per given numbers 2915/243, 5291/6942 is

LCM of Numerators i.e. for 2915,5291 is 1402115

GCF of denominators i.e. for 243,6942 is 3.

Thus, LCM of Fractions is 1402115/3.Finally, LCM of Fractions for 2915/243, 5291/6942 is 1402115/3.