Least Common Multiple of 501/243, 3619/3117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/243, 3619/3117 quickly i.e. 604373 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/243, 3619/3117 is 604373.

LCM(501/243, 3619/3117) = 604373

LCM of 501/243, 3619/3117

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 501/243,3619/3117

Given numbers are 501/243,3619/3117

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 501,3619

Least Common Multiple of Numerators i.e. LCM of 501,3619 is 1813119.

GCF of Denominators means GCF of 243,3117 as per the given fractions.

GCF of 243,3117 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,3619

LCM of Fractions 501/243,3619/3117 is 604373

Given numbers has no common factors except 1. So, there LCM is their product i.e 1813119

Least Common Multiple of 501,3619 with GCF Formula

Least Common Multiple of 501,3619 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 501,3619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,3619) = 1

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

GCF(501,3619) x common factors =1 x 1 = 1

LCM(501,3619) = ( 501 × 3619 ) / 1

LCM(501,3619) = 1813119 / 1

LCM(501,3619) = 1813119


Lets's calculate GCF of 243,3117

3 243, 3117
81, 1039

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1813119/3

Therefore the LCM of Fractions 501/243,3619/3117 is 604373

Greatest Common Factor of 243,3117 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,3117 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 3117

List of positive integer factors of 3117 that divides 3117 without a remainder.

1,3,1039,3117

Greatest Common Factor

We found the factors 243,3117 . The biggest common factor number is the GCF number.
So the greatest common factor 243,3117 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 501/243, 3619/3117

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 501/243, 3619/3117?

Answer: LCM of Numerators as per given numbers 501/243, 3619/3117 is

LCM of Numerators i.e. for 501,3619 is 1813119

GCF of denominators i.e. for 243,3117 is 3.

Thus, LCM of Fractions is 604373.Finally, LCM of Fractions for 501/243, 3619/3117 is 604373.