Least Common Multiple of 44/320, 74/359, 389/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/320, 74/359, 389/539 quickly i.e. 633292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/320, 74/359, 389/539 is 633292.

LCM(44/320, 74/359, 389/539) = 633292

LCM of 44/320, 74/359, 389/539

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 44/320,74/359,389/539

Given numbers are 44/320,74/359,389/539

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 44,74,389

Least Common Multiple of Numerators i.e. LCM of 44,74,389 is 633292.

GCF of Denominators means GCF of 320,359,539 as per the given fractions.

GCF of 320,359,539 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,74,389

LCM of Fractions 44/320,74/359,389/539 is 633292

2 44, 74, 389
22, 37, 389

∴ So the LCM of the given numbers is 2 x 22 x 37 x 389 = 633292

Least Common Multiple of 44,74,389 with GCF Formula

Least Common Multiple of 44,74,389 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 44,74,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,74,389) = 1

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

GCF(44,74,389) x common factors =1 x 2 = 2

LCM(44,74,389) = ( 44 × 74 × 389 ) / 2

LCM(44,74,389) = 1266584 / 2

LCM(44,74,389) = 633292


Lets's calculate GCF of 320,359,539

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 633292/1

Therefore the LCM of Fractions 44/320,74/359,389/539 is 633292

Greatest Common Factor of 320,359,539 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,359,539 By Matching Biggest Common Factor Method

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

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Greatest Common Factor

We found the factors 320,359,539 . The biggest common factor number is the GCF number.
So the greatest common factor 320,359,539 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 44/320, 74/359, 389/539

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 44/320, 74/359, 389/539?

Answer: LCM of Numerators as per given numbers 44/320, 74/359, 389/539 is

LCM of Numerators i.e. for 44,74,389 is 633292

GCF of denominators i.e. for 320,359,539 is 1.

Thus, LCM of Fractions is 633292.Finally, LCM of Fractions for 44/320, 74/359, 389/539 is 633292.