Least Common Multiple of 422/339, 2816/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/339, 2816/320 quickly i.e. 594176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/339, 2816/320 is 594176.

LCM(422/339, 2816/320) = 594176

LCM of 422/339, 2816/320

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 422/339,2816/320

Given numbers are 422/339,2816/320

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 422,2816

Least Common Multiple of Numerators i.e. LCM of 422,2816 is 594176.

GCF of Denominators means GCF of 339,320 as per the given fractions.

GCF of 339,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,2816

LCM of Fractions 422/339,2816/320 is 594176

2 422, 2816
211, 1408

∴ So the LCM of the given numbers is 2 x 211 x 1408 = 594176

Least Common Multiple of 422,2816 with GCF Formula

Least Common Multiple of 422,2816 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 422,2816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,2816) = 2

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

GCF(422,2816) x common factors =2 x 1 = 2

LCM(422,2816) = ( 422 × 2816 ) / 2

LCM(422,2816) = 1188352 / 2

LCM(422,2816) = 594176


Lets's calculate GCF of 339,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 594176/1

Therefore the LCM of Fractions 422/339,2816/320 is 594176

Greatest Common Factor of 339,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,320 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 339,320 . The biggest common factor number is the GCF number.
So the greatest common factor 339,320 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 422/339, 2816/320

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 422/339, 2816/320?

Answer: LCM of Numerators as per given numbers 422/339, 2816/320 is

LCM of Numerators i.e. for 422,2816 is 594176

GCF of denominators i.e. for 339,320 is 1.

Thus, LCM of Fractions is 594176.Finally, LCM of Fractions for 422/339, 2816/320 is 594176.