Least Common Multiple of 382/295, 191/920, 215/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/295, 191/920, 215/580 quickly i.e. 16426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/295, 191/920, 215/580 is 16426.

LCM(382/295, 191/920, 215/580) = 16426

LCM of 382/295, 191/920, 215/580

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 382/295,191/920,215/580

Given numbers are 382/295,191/920,215/580

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 382,191,215

Least Common Multiple of Numerators i.e. LCM of 382,191,215 is 82130.

GCF of Denominators means GCF of 295,920,580 as per the given fractions.

GCF of 295,920,580 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,191,215

LCM of Fractions 382/295,191/920,215/580 is 16426

191 382, 191, 215
2, 1, 215

∴ So the LCM of the given numbers is 191 x 2 x 1 x 215 = 82130

Least Common Multiple of 382,191,215 with GCF Formula

Least Common Multiple of 382,191,215 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 382,191,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,191,215) = 1

common factors(in case of two or more numbers have common factors) = 191

GCF(382,191,215) x common factors =1 x 191 = 191

LCM(382,191,215) = ( 382 × 191 × 215 ) / 191

LCM(382,191,215) = 15686830 / 191

LCM(382,191,215) = 82130


Lets's calculate GCF of 295,920,580

5 295, 920, 580
59, 184, 116

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82130/5

Therefore the LCM of Fractions 382/295,191/920,215/580 is 16426

Greatest Common Factor of 295,920,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,920,580 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 295,920,580 . The biggest common factor number is the GCF number.
So the greatest common factor 295,920,580 is 5.


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 382/295, 191/920, 215/580

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 382/295, 191/920, 215/580?

Answer: LCM of Numerators as per given numbers 382/295, 191/920, 215/580 is

LCM of Numerators i.e. for 382,191,215 is 82130

GCF of denominators i.e. for 295,920,580 is 5.

Thus, LCM of Fractions is 16426.Finally, LCM of Fractions for 382/295, 191/920, 215/580 is 16426.