Least Common Multiple of 297/24, 633/27, 317/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/24, 633/27, 317/597 quickly i.e. 6621813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/24, 633/27, 317/597 is 6621813.

LCM(297/24, 633/27, 317/597) = 6621813

LCM of 297/24, 633/27, 317/597

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 297/24,633/27,317/597

Given numbers are 297/24,633/27,317/597

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 297,633,317

Least Common Multiple of Numerators i.e. LCM of 297,633,317 is 19865439.

GCF of Denominators means GCF of 24,27,597 as per the given fractions.

GCF of 24,27,597 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,633,317

LCM of Fractions 297/24,633/27,317/597 is 6621813

3 297, 633, 317
99, 211, 317

∴ So the LCM of the given numbers is 3 x 99 x 211 x 317 = 19865439

Least Common Multiple of 297,633,317 with GCF Formula

Least Common Multiple of 297,633,317 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 297,633,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,633,317) = 1

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

GCF(297,633,317) x common factors =1 x 3 = 3

LCM(297,633,317) = ( 297 × 633 × 317 ) / 3

LCM(297,633,317) = 59596317 / 3

LCM(297,633,317) = 19865439


Lets's calculate GCF of 24,27,597

3 24, 27, 597
8, 9, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19865439/3

Therefore the LCM of Fractions 297/24,633/27,317/597 is 6621813

Greatest Common Factor of 24,27,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,27,597 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 24,27,597 . The biggest common factor number is the GCF number.
So the greatest common factor 24,27,597 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 297/24, 633/27, 317/597

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 297/24, 633/27, 317/597?

Answer: LCM of Numerators as per given numbers 297/24, 633/27, 317/597 is

LCM of Numerators i.e. for 297,633,317 is 19865439

GCF of denominators i.e. for 24,27,597 is 3.

Thus, LCM of Fractions is 6621813.Finally, LCM of Fractions for 297/24, 633/27, 317/597 is 6621813.