Least Common Multiple of 81/455, 4560/5766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/455, 4560/5766 quickly i.e. 123120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/455, 4560/5766 is 123120.

LCM(81/455, 4560/5766) = 123120

LCM of 81/455, 4560/5766

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 81/455,4560/5766

Given numbers are 81/455,4560/5766

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 81,4560

Least Common Multiple of Numerators i.e. LCM of 81,4560 is 123120.

GCF of Denominators means GCF of 455,5766 as per the given fractions.

GCF of 455,5766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,4560

LCM of Fractions 81/455,4560/5766 is 123120

3 81, 4560
27, 1520

∴ So the LCM of the given numbers is 3 x 27 x 1520 = 123120

Least Common Multiple of 81,4560 with GCF Formula

Least Common Multiple of 81,4560 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 81,4560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,4560) = 3

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

GCF(81,4560) x common factors =3 x 1 = 3

LCM(81,4560) = ( 81 × 4560 ) / 3

LCM(81,4560) = 369360 / 3

LCM(81,4560) = 123120


Lets's calculate GCF of 455,5766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123120/1

Therefore the LCM of Fractions 81/455,4560/5766 is 123120

Greatest Common Factor of 455,5766 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,5766 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 5766

List of positive integer factors of 5766 that divides 5766 without a remainder.

1,2,3,6,31,62,93,186,961,1922,2883,5766

Greatest Common Factor

We found the factors 455,5766 . The biggest common factor number is the GCF number.
So the greatest common factor 455,5766 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 81/455, 4560/5766

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 81/455, 4560/5766?

Answer: LCM of Numerators as per given numbers 81/455, 4560/5766 is

LCM of Numerators i.e. for 81,4560 is 123120

GCF of denominators i.e. for 455,5766 is 1.

Thus, LCM of Fractions is 123120.Finally, LCM of Fractions for 81/455, 4560/5766 is 123120.