Least Common Multiple of 768/344, 819/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/344, 819/260 quickly i.e. 52416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/344, 819/260 is 52416.

LCM(768/344, 819/260) = 52416

LCM of 768/344, 819/260

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 768/344,819/260

Given numbers are 768/344,819/260

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 768,819

Least Common Multiple of Numerators i.e. LCM of 768,819 is 209664.

GCF of Denominators means GCF of 344,260 as per the given fractions.

GCF of 344,260 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,819

LCM of Fractions 768/344,819/260 is 52416

3 768, 819
256, 273

∴ So the LCM of the given numbers is 3 x 256 x 273 = 209664

Least Common Multiple of 768,819 with GCF Formula

Least Common Multiple of 768,819 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 768,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,819) = 3

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

GCF(768,819) x common factors =3 x 1 = 3

LCM(768,819) = ( 768 × 819 ) / 3

LCM(768,819) = 628992 / 3

LCM(768,819) = 209664


Lets's calculate GCF of 344,260

2 344, 260
2 172, 130
86, 65

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209664/4

Therefore the LCM of Fractions 768/344,819/260 is 52416

Greatest Common Factor of 344,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,260 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 344,260 . The biggest common factor number is the GCF number.
So the greatest common factor 344,260 is 4.


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 768/344, 819/260

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 768/344, 819/260?

Answer: LCM of Numerators as per given numbers 768/344, 819/260 is

LCM of Numerators i.e. for 768,819 is 209664

GCF of denominators i.e. for 344,260 is 4.

Thus, LCM of Fractions is 52416.Finally, LCM of Fractions for 768/344, 819/260 is 52416.