Least Common Multiple of 299/27, 996/12, 638/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 299/27, 996/12, 638/454 quickly i.e. 94999476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/27, 996/12, 638/454 is 94999476.

LCM(299/27, 996/12, 638/454) = 94999476

LCM of 299/27, 996/12, 638/454

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 299/27,996/12,638/454

Given numbers are 299/27,996/12,638/454

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 299,996,638

Least Common Multiple of Numerators i.e. LCM of 299,996,638 is 94999476.

GCF of Denominators means GCF of 27,12,454 as per the given fractions.

GCF of 27,12,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,996,638

LCM of Fractions 299/27,996/12,638/454 is 94999476

2 299, 996, 638
299, 498, 319

∴ So the LCM of the given numbers is 2 x 299 x 498 x 319 = 94999476

Least Common Multiple of 299,996,638 with GCF Formula

Least Common Multiple of 299,996,638 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 299,996,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,996,638) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(299,996,638) x common factors =1 x 2 = 2

LCM(299,996,638) = ( 299 × 996 × 638 ) / 2

LCM(299,996,638) = 189998952 / 2

LCM(299,996,638) = 94999476


Lets's calculate GCF of 27,12,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94999476/1

Therefore the LCM of Fractions 299/27,996/12,638/454 is 94999476

Greatest Common Factor of 27,12,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,12,454 By Matching Biggest Common Factor Method

Factors of 27

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

1,3,9,27

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 27,12,454 . The biggest common factor number is the GCF number.
So the greatest common factor 27,12,454 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 299/27, 996/12, 638/454

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 299/27, 996/12, 638/454?

Answer: LCM of Numerators as per given numbers 299/27, 996/12, 638/454 is

LCM of Numerators i.e. for 299,996,638 is 94999476

GCF of denominators i.e. for 27,12,454 is 1.

Thus, LCM of Fractions is 94999476.Finally, LCM of Fractions for 299/27, 996/12, 638/454 is 94999476.