Least Common Multiple of 84/27, 793/14, 499/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/27, 793/14, 499/923 quickly i.e. 33239388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/27, 793/14, 499/923 is 33239388.

LCM(84/27, 793/14, 499/923) = 33239388

LCM of 84/27, 793/14, 499/923

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 84/27,793/14,499/923

Given numbers are 84/27,793/14,499/923

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 84,793,499

Least Common Multiple of Numerators i.e. LCM of 84,793,499 is 33239388.

GCF of Denominators means GCF of 27,14,923 as per the given fractions.

GCF of 27,14,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,793,499

LCM of Fractions 84/27,793/14,499/923 is 33239388

Given numbers has no common factors except 1. So, there LCM is their product i.e 33239388

Least Common Multiple of 84,793,499 with GCF Formula

Least Common Multiple of 84,793,499 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 84,793,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,793,499) = 1

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

GCF(84,793,499) x common factors =1 x 1 = 1

LCM(84,793,499) = ( 84 × 793 × 499 ) / 1

LCM(84,793,499) = 33239388 / 1

LCM(84,793,499) = 33239388


Lets's calculate GCF of 27,14,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33239388/1

Therefore the LCM of Fractions 84/27,793/14,499/923 is 33239388

Greatest Common Factor of 27,14,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,14,923 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 27,14,923 . The biggest common factor number is the GCF number.
So the greatest common factor 27,14,923 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 84/27, 793/14, 499/923

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 84/27, 793/14, 499/923?

Answer: LCM of Numerators as per given numbers 84/27, 793/14, 499/923 is

LCM of Numerators i.e. for 84,793,499 is 33239388

GCF of denominators i.e. for 27,14,923 is 1.

Thus, LCM of Fractions is 33239388.Finally, LCM of Fractions for 84/27, 793/14, 499/923 is 33239388.