Least Common Multiple of 993/184, 6957/8569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 993/184, 6957/8569 quickly i.e. 2302767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 993/184, 6957/8569 is 2302767.

LCM(993/184, 6957/8569) = 2302767

LCM of 993/184, 6957/8569

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 993/184,6957/8569

Given numbers are 993/184,6957/8569

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 993,6957

Least Common Multiple of Numerators i.e. LCM of 993,6957 is 2302767.

GCF of Denominators means GCF of 184,8569 as per the given fractions.

GCF of 184,8569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 993,6957

LCM of Fractions 993/184,6957/8569 is 2302767

3 993, 6957
331, 2319

∴ So the LCM of the given numbers is 3 x 331 x 2319 = 2302767

Least Common Multiple of 993,6957 with GCF Formula

Least Common Multiple of 993,6957 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 993,6957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,6957) = 3

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

GCF(993,6957) x common factors =3 x 1 = 3

LCM(993,6957) = ( 993 × 6957 ) / 3

LCM(993,6957) = 6908301 / 3

LCM(993,6957) = 2302767


Lets's calculate GCF of 184,8569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2302767/1

Therefore the LCM of Fractions 993/184,6957/8569 is 2302767

Greatest Common Factor of 184,8569 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,8569 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 8569

List of positive integer factors of 8569 that divides 8569 without a remainder.

1,11,19,41,209,451,779,8569

Greatest Common Factor

We found the factors 184,8569 . The biggest common factor number is the GCF number.
So the greatest common factor 184,8569 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 993/184, 6957/8569

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 993/184, 6957/8569?

Answer: LCM of Numerators as per given numbers 993/184, 6957/8569 is

LCM of Numerators i.e. for 993,6957 is 2302767

GCF of denominators i.e. for 184,8569 is 1.

Thus, LCM of Fractions is 2302767.Finally, LCM of Fractions for 993/184, 6957/8569 is 2302767.