Least Common Multiple of 259/243, 3118/4613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 259/243, 3118/4613 quickly i.e. 807562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 259/243, 3118/4613 is 807562.

LCM(259/243, 3118/4613) = 807562

LCM of 259/243, 3118/4613

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 259/243,3118/4613

Given numbers are 259/243,3118/4613

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 259,3118

Least Common Multiple of Numerators i.e. LCM of 259,3118 is 807562.

GCF of Denominators means GCF of 243,4613 as per the given fractions.

GCF of 243,4613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 259,3118

LCM of Fractions 259/243,3118/4613 is 807562

Given numbers has no common factors except 1. So, there LCM is their product i.e 807562

Least Common Multiple of 259,3118 with GCF Formula

Least Common Multiple of 259,3118 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 259,3118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,3118) = 1

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

GCF(259,3118) x common factors =1 x 1 = 1

LCM(259,3118) = ( 259 × 3118 ) / 1

LCM(259,3118) = 807562 / 1

LCM(259,3118) = 807562


Lets's calculate GCF of 243,4613

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 807562/1

Therefore the LCM of Fractions 259/243,3118/4613 is 807562

Greatest Common Factor of 243,4613 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,4613 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 4613

List of positive integer factors of 4613 that divides 4613 without a remainder.

1,7,659,4613

Greatest Common Factor

We found the factors 243,4613 . The biggest common factor number is the GCF number.
So the greatest common factor 243,4613 is 1.


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 259/243, 3118/4613

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 259/243, 3118/4613?

Answer: LCM of Numerators as per given numbers 259/243, 3118/4613 is

LCM of Numerators i.e. for 259,3118 is 807562

GCF of denominators i.e. for 243,4613 is 1.

Thus, LCM of Fractions is 807562.Finally, LCM of Fractions for 259/243, 3118/4613 is 807562.