Least Common Multiple of 46/419, 27/382, 363/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/419, 27/382, 363/329 quickly i.e. 150282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/419, 27/382, 363/329 is 150282.

LCM(46/419, 27/382, 363/329) = 150282

LCM of 46/419, 27/382, 363/329

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 46/419,27/382,363/329

Given numbers are 46/419,27/382,363/329

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 46,27,363

Least Common Multiple of Numerators i.e. LCM of 46,27,363 is 150282.

GCF of Denominators means GCF of 419,382,329 as per the given fractions.

GCF of 419,382,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,27,363

LCM of Fractions 46/419,27/382,363/329 is 150282

3 46, 27, 363
46, 9, 121

∴ So the LCM of the given numbers is 3 x 46 x 9 x 121 = 150282

Least Common Multiple of 46,27,363 with GCF Formula

Least Common Multiple of 46,27,363 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 46,27,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,27,363) = 1

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

GCF(46,27,363) x common factors =1 x 3 = 3

LCM(46,27,363) = ( 46 × 27 × 363 ) / 3

LCM(46,27,363) = 450846 / 3

LCM(46,27,363) = 150282


Lets's calculate GCF of 419,382,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150282/1

Therefore the LCM of Fractions 46/419,27/382,363/329 is 150282

Greatest Common Factor of 419,382,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 419,382,329 By Matching Biggest Common Factor Method

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 419,382,329 . The biggest common factor number is the GCF number.
So the greatest common factor 419,382,329 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 46/419, 27/382, 363/329

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 46/419, 27/382, 363/329?

Answer: LCM of Numerators as per given numbers 46/419, 27/382, 363/329 is

LCM of Numerators i.e. for 46,27,363 is 150282

GCF of denominators i.e. for 419,382,329 is 1.

Thus, LCM of Fractions is 150282.Finally, LCM of Fractions for 46/419, 27/382, 363/329 is 150282.