Least Common Multiple of 45/715, 5439/6819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/715, 5439/6819 quickly i.e. 81585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/715, 5439/6819 is 81585.

LCM(45/715, 5439/6819) = 81585

LCM of 45/715, 5439/6819

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 45/715,5439/6819

Given numbers are 45/715,5439/6819

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 45,5439

Least Common Multiple of Numerators i.e. LCM of 45,5439 is 81585.

GCF of Denominators means GCF of 715,6819 as per the given fractions.

GCF of 715,6819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,5439

LCM of Fractions 45/715,5439/6819 is 81585

3 45, 5439
15, 1813

∴ So the LCM of the given numbers is 3 x 15 x 1813 = 81585

Least Common Multiple of 45,5439 with GCF Formula

Least Common Multiple of 45,5439 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 45,5439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,5439) = 3

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

GCF(45,5439) x common factors =3 x 1 = 3

LCM(45,5439) = ( 45 × 5439 ) / 3

LCM(45,5439) = 244755 / 3

LCM(45,5439) = 81585


Lets's calculate GCF of 715,6819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81585/1

Therefore the LCM of Fractions 45/715,5439/6819 is 81585

Greatest Common Factor of 715,6819 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,6819 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 6819

List of positive integer factors of 6819 that divides 6819 without a remainder.

1,3,2273,6819

Greatest Common Factor

We found the factors 715,6819 . The biggest common factor number is the GCF number.
So the greatest common factor 715,6819 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 45/715, 5439/6819

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 45/715, 5439/6819?

Answer: LCM of Numerators as per given numbers 45/715, 5439/6819 is

LCM of Numerators i.e. for 45,5439 is 81585

GCF of denominators i.e. for 715,6819 is 1.

Thus, LCM of Fractions is 81585.Finally, LCM of Fractions for 45/715, 5439/6819 is 81585.