Least Common Multiple of 363/27, 382/58, 361/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/27, 382/58, 361/190 quickly i.e. 50058426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/27, 382/58, 361/190 is 50058426.

LCM(363/27, 382/58, 361/190) = 50058426

LCM of 363/27, 382/58, 361/190

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 363/27,382/58,361/190

Given numbers are 363/27,382/58,361/190

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 363,382,361

Least Common Multiple of Numerators i.e. LCM of 363,382,361 is 50058426.

GCF of Denominators means GCF of 27,58,190 as per the given fractions.

GCF of 27,58,190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,382,361

LCM of Fractions 363/27,382/58,361/190 is 50058426

Given numbers has no common factors except 1. So, there LCM is their product i.e 50058426

Least Common Multiple of 363,382,361 with GCF Formula

Least Common Multiple of 363,382,361 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 363,382,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,382,361) = 1

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

GCF(363,382,361) x common factors =1 x 1 = 1

LCM(363,382,361) = ( 363 × 382 × 361 ) / 1

LCM(363,382,361) = 50058426 / 1

LCM(363,382,361) = 50058426


Lets's calculate GCF of 27,58,190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50058426/1

Therefore the LCM of Fractions 363/27,382/58,361/190 is 50058426

Greatest Common Factor of 27,58,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,58,190 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 27,58,190 . The biggest common factor number is the GCF number.
So the greatest common factor 27,58,190 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 363/27, 382/58, 361/190

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 363/27, 382/58, 361/190?

Answer: LCM of Numerators as per given numbers 363/27, 382/58, 361/190 is

LCM of Numerators i.e. for 363,382,361 is 50058426

GCF of denominators i.e. for 27,58,190 is 1.

Thus, LCM of Fractions is 50058426.Finally, LCM of Fractions for 363/27, 382/58, 361/190 is 50058426.