Least Common Multiple of 31/384, 6222/9693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/384, 6222/9693 quickly i.e. 64294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/384, 6222/9693 is 64294.

LCM(31/384, 6222/9693) = 64294

LCM of 31/384, 6222/9693

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 31/384,6222/9693

Given numbers are 31/384,6222/9693

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 31,6222

Least Common Multiple of Numerators i.e. LCM of 31,6222 is 192882.

GCF of Denominators means GCF of 384,9693 as per the given fractions.

GCF of 384,9693 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,6222

LCM of Fractions 31/384,6222/9693 is 64294

Given numbers has no common factors except 1. So, there LCM is their product i.e 192882

Least Common Multiple of 31,6222 with GCF Formula

Least Common Multiple of 31,6222 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 31,6222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,6222) = 1

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

GCF(31,6222) x common factors =1 x 1 = 1

LCM(31,6222) = ( 31 × 6222 ) / 1

LCM(31,6222) = 192882 / 1

LCM(31,6222) = 192882


Lets's calculate GCF of 384,9693

3 384, 9693
128, 3231

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192882/3

Therefore the LCM of Fractions 31/384,6222/9693 is 64294

Greatest Common Factor of 384,9693 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,9693 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

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

Factors of 9693

List of positive integer factors of 9693 that divides 9693 without a remainder.

1,3,9,27,359,1077,3231,9693

Greatest Common Factor

We found the factors 384,9693 . The biggest common factor number is the GCF number.
So the greatest common factor 384,9693 is 3.


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 31/384, 6222/9693

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 31/384, 6222/9693?

Answer: LCM of Numerators as per given numbers 31/384, 6222/9693 is

LCM of Numerators i.e. for 31,6222 is 192882

GCF of denominators i.e. for 384,9693 is 3.

Thus, LCM of Fractions is 64294.Finally, LCM of Fractions for 31/384, 6222/9693 is 64294.