Least Common Multiple of 11/297, 829/21, 305/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/297, 829/21, 305/363 quickly i.e. 2781295/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/297, 829/21, 305/363 is 2781295/3.

LCM(11/297, 829/21, 305/363) = 2781295/3

LCM of 11/297, 829/21, 305/363

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 11/297,829/21,305/363

Given numbers are 11/297,829/21,305/363

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 11,829,305

Least Common Multiple of Numerators i.e. LCM of 11,829,305 is 2781295.

GCF of Denominators means GCF of 297,21,363 as per the given fractions.

GCF of 297,21,363 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,829,305

LCM of Fractions 11/297,829/21,305/363 is 2781295/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 2781295

Least Common Multiple of 11,829,305 with GCF Formula

Least Common Multiple of 11,829,305 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 11,829,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,829,305) = 1

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

GCF(11,829,305) x common factors =1 x 1 = 1

LCM(11,829,305) = ( 11 × 829 × 305 ) / 1

LCM(11,829,305) = 2781295 / 1

LCM(11,829,305) = 2781295


Lets's calculate GCF of 297,21,363

3 297, 21, 363
99, 7, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2781295/3

Therefore the LCM of Fractions 11/297,829/21,305/363 is 2781295/3

Greatest Common Factor of 297,21,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,21,363 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 297,21,363 . The biggest common factor number is the GCF number.
So the greatest common factor 297,21,363 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 11/297, 829/21, 305/363

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 11/297, 829/21, 305/363?

Answer: LCM of Numerators as per given numbers 11/297, 829/21, 305/363 is

LCM of Numerators i.e. for 11,829,305 is 2781295

GCF of denominators i.e. for 297,21,363 is 3.

Thus, LCM of Fractions is 2781295/3.Finally, LCM of Fractions for 11/297, 829/21, 305/363 is 2781295/3.