Least Common Multiple of 753/27, 499/6483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/27, 499/6483 quickly i.e. 125249 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/27, 499/6483 is 125249.

LCM(753/27, 499/6483) = 125249

LCM of 753/27, 499/6483

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 753/27,499/6483

Given numbers are 753/27,499/6483

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 753,499

Least Common Multiple of Numerators i.e. LCM of 753,499 is 375747.

GCF of Denominators means GCF of 27,6483 as per the given fractions.

GCF of 27,6483 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,499

LCM of Fractions 753/27,499/6483 is 125249

Given numbers has no common factors except 1. So, there LCM is their product i.e 375747

Least Common Multiple of 753,499 with GCF Formula

Least Common Multiple of 753,499 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 753,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,499) = 1

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

GCF(753,499) x common factors =1 x 1 = 1

LCM(753,499) = ( 753 × 499 ) / 1

LCM(753,499) = 375747 / 1

LCM(753,499) = 375747


Lets's calculate GCF of 27,6483

3 27, 6483
9, 2161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375747/3

Therefore the LCM of Fractions 753/27,499/6483 is 125249

Greatest Common Factor of 27,6483 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,6483 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 6483

List of positive integer factors of 6483 that divides 6483 without a remainder.

1,3,2161,6483

Greatest Common Factor

We found the factors 27,6483 . The biggest common factor number is the GCF number.
So the greatest common factor 27,6483 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 753/27, 499/6483

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 753/27, 499/6483?

Answer: LCM of Numerators as per given numbers 753/27, 499/6483 is

LCM of Numerators i.e. for 753,499 is 375747

GCF of denominators i.e. for 27,6483 is 3.

Thus, LCM of Fractions is 125249.Finally, LCM of Fractions for 753/27, 499/6483 is 125249.