Least Common Multiple of 921/288, 822/760, 294/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 921/288, 822/760, 294/809 quickly i.e. 12365346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 921/288, 822/760, 294/809 is 12365346.

LCM(921/288, 822/760, 294/809) = 12365346

LCM of 921/288, 822/760, 294/809

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 921/288,822/760,294/809

Given numbers are 921/288,822/760,294/809

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 921,822,294

Least Common Multiple of Numerators i.e. LCM of 921,822,294 is 12365346.

GCF of Denominators means GCF of 288,760,809 as per the given fractions.

GCF of 288,760,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 921,822,294

LCM of Fractions 921/288,822/760,294/809 is 12365346

2 921, 822, 294
3 921, 411, 147
307, 137, 49

∴ So the LCM of the given numbers is 2 x 3 x 307 x 137 x 49 = 12365346

Least Common Multiple of 921,822,294 with GCF Formula

Least Common Multiple of 921,822,294 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 921,822,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,822,294) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(921,822,294) x common factors =3 x 6 = 18

LCM(921,822,294) = ( 921 × 822 × 294 ) / 18

LCM(921,822,294) = 222576228 / 18

LCM(921,822,294) = 12365346


Lets's calculate GCF of 288,760,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12365346/1

Therefore the LCM of Fractions 921/288,822/760,294/809 is 12365346

Greatest Common Factor of 288,760,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,760,809 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 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 288,760,809 . The biggest common factor number is the GCF number.
So the greatest common factor 288,760,809 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 921/288, 822/760, 294/809

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 921/288, 822/760, 294/809?

Answer: LCM of Numerators as per given numbers 921/288, 822/760, 294/809 is

LCM of Numerators i.e. for 921,822,294 is 12365346

GCF of denominators i.e. for 288,760,809 is 1.

Thus, LCM of Fractions is 12365346.Finally, LCM of Fractions for 921/288, 822/760, 294/809 is 12365346.