Least Common Multiple of 13/96, 801/24, 618/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/96, 801/24, 618/314 quickly i.e. 1072539 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/96, 801/24, 618/314 is 1072539.

LCM(13/96, 801/24, 618/314) = 1072539

LCM of 13/96, 801/24, 618/314

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 13/96,801/24,618/314

Given numbers are 13/96,801/24,618/314

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 13,801,618

Least Common Multiple of Numerators i.e. LCM of 13,801,618 is 2145078.

GCF of Denominators means GCF of 96,24,314 as per the given fractions.

GCF of 96,24,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,801,618

LCM of Fractions 13/96,801/24,618/314 is 1072539

3 13, 801, 618
13, 267, 206

∴ So the LCM of the given numbers is 3 x 13 x 267 x 206 = 2145078

Least Common Multiple of 13,801,618 with GCF Formula

Least Common Multiple of 13,801,618 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 13,801,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,801,618) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(13,801,618) x common factors =1 x 3 = 3

LCM(13,801,618) = ( 13 × 801 × 618 ) / 3

LCM(13,801,618) = 6435234 / 3

LCM(13,801,618) = 2145078


Lets's calculate GCF of 96,24,314

2 96, 24, 314
48, 12, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2145078/2

Therefore the LCM of Fractions 13/96,801/24,618/314 is 1072539

Greatest Common Factor of 96,24,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,24,314 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

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 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 96,24,314 . The biggest common factor number is the GCF number.
So the greatest common factor 96,24,314 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 13/96, 801/24, 618/314

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 13/96, 801/24, 618/314?

Answer: LCM of Numerators as per given numbers 13/96, 801/24, 618/314 is

LCM of Numerators i.e. for 13,801,618 is 2145078

GCF of denominators i.e. for 96,24,314 is 2.

Thus, LCM of Fractions is 1072539.Finally, LCM of Fractions for 13/96, 801/24, 618/314 is 1072539.