Least Common Multiple of 821/288, 333/623, 885/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/288, 333/623, 885/458 quickly i.e. 80650935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/288, 333/623, 885/458 is 80650935.

LCM(821/288, 333/623, 885/458) = 80650935

LCM of 821/288, 333/623, 885/458

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 821/288,333/623,885/458

Given numbers are 821/288,333/623,885/458

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 821,333,885

Least Common Multiple of Numerators i.e. LCM of 821,333,885 is 80650935.

GCF of Denominators means GCF of 288,623,458 as per the given fractions.

GCF of 288,623,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,333,885

LCM of Fractions 821/288,333/623,885/458 is 80650935

3 821, 333, 885
821, 111, 295

∴ So the LCM of the given numbers is 3 x 821 x 111 x 295 = 80650935

Least Common Multiple of 821,333,885 with GCF Formula

Least Common Multiple of 821,333,885 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 821,333,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,333,885) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(821,333,885) x common factors =1 x 3 = 3

LCM(821,333,885) = ( 821 × 333 × 885 ) / 3

LCM(821,333,885) = 241952805 / 3

LCM(821,333,885) = 80650935


Lets's calculate GCF of 288,623,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80650935/1

Therefore the LCM of Fractions 821/288,333/623,885/458 is 80650935

Greatest Common Factor of 288,623,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,623,458 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 288,623,458 . The biggest common factor number is the GCF number.
So the greatest common factor 288,623,458 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 821/288, 333/623, 885/458

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 821/288, 333/623, 885/458?

Answer: LCM of Numerators as per given numbers 821/288, 333/623, 885/458 is

LCM of Numerators i.e. for 821,333,885 is 80650935

GCF of denominators i.e. for 288,623,458 is 1.

Thus, LCM of Fractions is 80650935.Finally, LCM of Fractions for 821/288, 333/623, 885/458 is 80650935.