Least Common Multiple of 5815/670, 4538/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5815/670, 4538/768 quickly i.e. 13194235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5815/670, 4538/768 is 13194235.

LCM(5815/670, 4538/768) = 13194235

LCM of 5815/670, 4538/768

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 5815/670,4538/768

Given numbers are 5815/670,4538/768

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 5815,4538

Least Common Multiple of Numerators i.e. LCM of 5815,4538 is 26388470.

GCF of Denominators means GCF of 670,768 as per the given fractions.

GCF of 670,768 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5815,4538

LCM of Fractions 5815/670,4538/768 is 13194235

Given numbers has no common factors except 1. So, there LCM is their product i.e 26388470

Least Common Multiple of 5815,4538 with GCF Formula

Least Common Multiple of 5815,4538 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 5815,4538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5815,4538) = 1

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

GCF(5815,4538) x common factors =1 x 1 = 1

LCM(5815,4538) = ( 5815 × 4538 ) / 1

LCM(5815,4538) = 26388470 / 1

LCM(5815,4538) = 26388470


Lets's calculate GCF of 670,768

2 670, 768
335, 384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26388470/2

Therefore the LCM of Fractions 5815/670,4538/768 is 13194235

Greatest Common Factor of 670,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,768 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 670,768 . The biggest common factor number is the GCF number.
So the greatest common factor 670,768 is 2.


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 5815/670, 4538/768

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 5815/670, 4538/768?

Answer: LCM of Numerators as per given numbers 5815/670, 4538/768 is

LCM of Numerators i.e. for 5815,4538 is 26388470

GCF of denominators i.e. for 670,768 is 2.

Thus, LCM of Fractions is 13194235.Finally, LCM of Fractions for 5815/670, 4538/768 is 13194235.