Least Common Multiple of 329/424, 939/793, 453/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 329/424, 939/793, 453/180 quickly i.e. 46648581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/424, 939/793, 453/180 is 46648581.

LCM(329/424, 939/793, 453/180) = 46648581

LCM of 329/424, 939/793, 453/180

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 329/424,939/793,453/180

Given numbers are 329/424,939/793,453/180

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 329,939,453

Least Common Multiple of Numerators i.e. LCM of 329,939,453 is 46648581.

GCF of Denominators means GCF of 424,793,180 as per the given fractions.

GCF of 424,793,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,939,453

LCM of Fractions 329/424,939/793,453/180 is 46648581

3 329, 939, 453
329, 313, 151

∴ So the LCM of the given numbers is 3 x 329 x 313 x 151 = 46648581

Least Common Multiple of 329,939,453 with GCF Formula

Least Common Multiple of 329,939,453 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 329,939,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,939,453) = 1

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

GCF(329,939,453) x common factors =1 x 3 = 3

LCM(329,939,453) = ( 329 × 939 × 453 ) / 3

LCM(329,939,453) = 139945743 / 3

LCM(329,939,453) = 46648581


Lets's calculate GCF of 424,793,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46648581/1

Therefore the LCM of Fractions 329/424,939/793,453/180 is 46648581

Greatest Common Factor of 424,793,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,793,180 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 424,793,180 . The biggest common factor number is the GCF number.
So the greatest common factor 424,793,180 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 329/424, 939/793, 453/180

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 329/424, 939/793, 453/180?

Answer: LCM of Numerators as per given numbers 329/424, 939/793, 453/180 is

LCM of Numerators i.e. for 329,939,453 is 46648581

GCF of denominators i.e. for 424,793,180 is 1.

Thus, LCM of Fractions is 46648581.Finally, LCM of Fractions for 329/424, 939/793, 453/180 is 46648581.