Least Common Multiple of 46/591, 37/540, 321/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/591, 37/540, 321/413 quickly i.e. 546342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/591, 37/540, 321/413 is 546342.

LCM(46/591, 37/540, 321/413) = 546342

LCM of 46/591, 37/540, 321/413

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 46/591,37/540,321/413

Given numbers are 46/591,37/540,321/413

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 46,37,321

Least Common Multiple of Numerators i.e. LCM of 46,37,321 is 546342.

GCF of Denominators means GCF of 591,540,413 as per the given fractions.

GCF of 591,540,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,37,321

LCM of Fractions 46/591,37/540,321/413 is 546342

Given numbers has no common factors except 1. So, there LCM is their product i.e 546342

Least Common Multiple of 46,37,321 with GCF Formula

Least Common Multiple of 46,37,321 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 46,37,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,37,321) = 1

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

GCF(46,37,321) x common factors =1 x 1 = 1

LCM(46,37,321) = ( 46 × 37 × 321 ) / 1

LCM(46,37,321) = 546342 / 1

LCM(46,37,321) = 546342


Lets's calculate GCF of 591,540,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546342/1

Therefore the LCM of Fractions 46/591,37/540,321/413 is 546342

Greatest Common Factor of 591,540,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,540,413 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 591,540,413 . The biggest common factor number is the GCF number.
So the greatest common factor 591,540,413 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 46/591, 37/540, 321/413

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 46/591, 37/540, 321/413?

Answer: LCM of Numerators as per given numbers 46/591, 37/540, 321/413 is

LCM of Numerators i.e. for 46,37,321 is 546342

GCF of denominators i.e. for 591,540,413 is 1.

Thus, LCM of Fractions is 546342.Finally, LCM of Fractions for 46/591, 37/540, 321/413 is 546342.