Least Common Multiple of 96/323, 9795/2059

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/323, 9795/2059 quickly i.e. 313440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/323, 9795/2059 is 313440.

LCM(96/323, 9795/2059) = 313440

LCM of 96/323, 9795/2059

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 96/323,9795/2059

Given numbers are 96/323,9795/2059

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 96,9795

Least Common Multiple of Numerators i.e. LCM of 96,9795 is 313440.

GCF of Denominators means GCF of 323,2059 as per the given fractions.

GCF of 323,2059 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,9795

LCM of Fractions 96/323,9795/2059 is 313440

3 96, 9795
32, 3265

∴ So the LCM of the given numbers is 3 x 32 x 3265 = 313440

Least Common Multiple of 96,9795 with GCF Formula

Least Common Multiple of 96,9795 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 96,9795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,9795) = 3

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

GCF(96,9795) x common factors =3 x 1 = 3

LCM(96,9795) = ( 96 × 9795 ) / 3

LCM(96,9795) = 940320 / 3

LCM(96,9795) = 313440


Lets's calculate GCF of 323,2059

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313440/1

Therefore the LCM of Fractions 96/323,9795/2059 is 313440

Greatest Common Factor of 323,2059 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,2059 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 2059

List of positive integer factors of 2059 that divides 2059 without a remainder.

1,29,71,2059

Greatest Common Factor

We found the factors 323,2059 . The biggest common factor number is the GCF number.
So the greatest common factor 323,2059 is 1.


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 96/323, 9795/2059

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 96/323, 9795/2059?

Answer: LCM of Numerators as per given numbers 96/323, 9795/2059 is

LCM of Numerators i.e. for 96,9795 is 313440

GCF of denominators i.e. for 323,2059 is 1.

Thus, LCM of Fractions is 313440.Finally, LCM of Fractions for 96/323, 9795/2059 is 313440.