Least Common Multiple of 3181/255, 4344/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3181/255, 4344/960 quickly i.e. 13818264/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3181/255, 4344/960 is 13818264/15.

LCM(3181/255, 4344/960) = 13818264/15

LCM of 3181/255, 4344/960

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 3181/255,4344/960

Given numbers are 3181/255,4344/960

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 3181,4344

Least Common Multiple of Numerators i.e. LCM of 3181,4344 is 13818264.

GCF of Denominators means GCF of 255,960 as per the given fractions.

GCF of 255,960 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3181,4344

LCM of Fractions 3181/255,4344/960 is 13818264/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 13818264

Least Common Multiple of 3181,4344 with GCF Formula

Least Common Multiple of 3181,4344 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 3181,4344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3181,4344) = 1

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

GCF(3181,4344) x common factors =1 x 1 = 1

LCM(3181,4344) = ( 3181 × 4344 ) / 1

LCM(3181,4344) = 13818264 / 1

LCM(3181,4344) = 13818264


Lets's calculate GCF of 255,960

3 255, 960
5 85, 320
17, 64

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13818264/15

Therefore the LCM of Fractions 3181/255,4344/960 is 13818264/15

Greatest Common Factor of 255,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,960 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 255,960 . The biggest common factor number is the GCF number.
So the greatest common factor 255,960 is 15.


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 3181/255, 4344/960

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 3181/255, 4344/960?

Answer: LCM of Numerators as per given numbers 3181/255, 4344/960 is

LCM of Numerators i.e. for 3181,4344 is 13818264

GCF of denominators i.e. for 255,960 is 15.

Thus, LCM of Fractions is 13818264/15.Finally, LCM of Fractions for 3181/255, 4344/960 is 13818264/15.