Least Common Multiple of 741/24, 489/8349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 741/24, 489/8349 quickly i.e. 40261 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/24, 489/8349 is 40261.

LCM(741/24, 489/8349) = 40261

LCM of 741/24, 489/8349

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 741/24,489/8349

Given numbers are 741/24,489/8349

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 741,489

Least Common Multiple of Numerators i.e. LCM of 741,489 is 120783.

GCF of Denominators means GCF of 24,8349 as per the given fractions.

GCF of 24,8349 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,489

LCM of Fractions 741/24,489/8349 is 40261

3 741, 489
247, 163

∴ So the LCM of the given numbers is 3 x 247 x 163 = 120783

Least Common Multiple of 741,489 with GCF Formula

Least Common Multiple of 741,489 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 741,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,489) = 3

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

GCF(741,489) x common factors =3 x 1 = 3

LCM(741,489) = ( 741 × 489 ) / 3

LCM(741,489) = 362349 / 3

LCM(741,489) = 120783


Lets's calculate GCF of 24,8349

3 24, 8349
8, 2783

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120783/3

Therefore the LCM of Fractions 741/24,489/8349 is 40261

Greatest Common Factor of 24,8349 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,8349 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 8349

List of positive integer factors of 8349 that divides 8349 without a remainder.

1,3,11,23,33,69,121,253,363,759,2783,8349

Greatest Common Factor

We found the factors 24,8349 . The biggest common factor number is the GCF number.
So the greatest common factor 24,8349 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 741/24, 489/8349

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 741/24, 489/8349?

Answer: LCM of Numerators as per given numbers 741/24, 489/8349 is

LCM of Numerators i.e. for 741,489 is 120783

GCF of denominators i.e. for 24,8349 is 3.

Thus, LCM of Fractions is 40261.Finally, LCM of Fractions for 741/24, 489/8349 is 40261.