Least Common Multiple of 3105/643, 4439/2424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3105/643, 4439/2424 quickly i.e. 599265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3105/643, 4439/2424 is 599265.

LCM(3105/643, 4439/2424) = 599265

LCM of 3105/643, 4439/2424

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 3105/643,4439/2424

Given numbers are 3105/643,4439/2424

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 3105,4439

Least Common Multiple of Numerators i.e. LCM of 3105,4439 is 599265.

GCF of Denominators means GCF of 643,2424 as per the given fractions.

GCF of 643,2424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3105,4439

LCM of Fractions 3105/643,4439/2424 is 599265

23 3105, 4439
135, 193

∴ So the LCM of the given numbers is 23 x 135 x 193 = 599265

Least Common Multiple of 3105,4439 with GCF Formula

Least Common Multiple of 3105,4439 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 3105,4439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3105,4439) = 23

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

GCF(3105,4439) x common factors =23 x 1 = 23

LCM(3105,4439) = ( 3105 × 4439 ) / 23

LCM(3105,4439) = 13783095 / 23

LCM(3105,4439) = 599265


Lets's calculate GCF of 643,2424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 599265/1

Therefore the LCM of Fractions 3105/643,4439/2424 is 599265

Greatest Common Factor of 643,2424 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,2424 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 2424

List of positive integer factors of 2424 that divides 2424 without a remainder.

1,2,3,4,6,8,12,24,101,202,303,404,606,808,1212,2424

Greatest Common Factor

We found the factors 643,2424 . The biggest common factor number is the GCF number.
So the greatest common factor 643,2424 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 3105/643, 4439/2424

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 3105/643, 4439/2424?

Answer: LCM of Numerators as per given numbers 3105/643, 4439/2424 is

LCM of Numerators i.e. for 3105,4439 is 599265

GCF of denominators i.e. for 643,2424 is 1.

Thus, LCM of Fractions is 599265.Finally, LCM of Fractions for 3105/643, 4439/2424 is 599265.