Least Common Multiple of 449/384, 422/838, 563/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 449/384, 422/838, 563/340 quickly i.e. 53338057 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/384, 422/838, 563/340 is 53338057.

LCM(449/384, 422/838, 563/340) = 53338057

LCM of 449/384, 422/838, 563/340

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 449/384,422/838,563/340

Given numbers are 449/384,422/838,563/340

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 449,422,563

Least Common Multiple of Numerators i.e. LCM of 449,422,563 is 106676114.

GCF of Denominators means GCF of 384,838,340 as per the given fractions.

GCF of 384,838,340 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,422,563

LCM of Fractions 449/384,422/838,563/340 is 53338057

Given numbers has no common factors except 1. So, there LCM is their product i.e 106676114

Least Common Multiple of 449,422,563 with GCF Formula

Least Common Multiple of 449,422,563 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 449,422,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,422,563) = 1

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

GCF(449,422,563) x common factors =1 x 1 = 1

LCM(449,422,563) = ( 449 × 422 × 563 ) / 1

LCM(449,422,563) = 106676114 / 1

LCM(449,422,563) = 106676114


Lets's calculate GCF of 384,838,340

2 384, 838, 340
192, 419, 170

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106676114/2

Therefore the LCM of Fractions 449/384,422/838,563/340 is 53338057

Greatest Common Factor of 384,838,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,838,340 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 384,838,340 . The biggest common factor number is the GCF number.
So the greatest common factor 384,838,340 is 2.


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 449/384, 422/838, 563/340

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 449/384, 422/838, 563/340?

Answer: LCM of Numerators as per given numbers 449/384, 422/838, 563/340 is

LCM of Numerators i.e. for 449,422,563 is 106676114

GCF of denominators i.e. for 384,838,340 is 2.

Thus, LCM of Fractions is 53338057.Finally, LCM of Fractions for 449/384, 422/838, 563/340 is 53338057.