Least Common Multiple of 20/380, 5338/3806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/380, 5338/3806 quickly i.e. 26690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/380, 5338/3806 is 26690.

LCM(20/380, 5338/3806) = 26690

LCM of 20/380, 5338/3806

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 20/380,5338/3806

Given numbers are 20/380,5338/3806

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 20,5338

Least Common Multiple of Numerators i.e. LCM of 20,5338 is 53380.

GCF of Denominators means GCF of 380,3806 as per the given fractions.

GCF of 380,3806 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,5338

LCM of Fractions 20/380,5338/3806 is 26690

2 20, 5338
10, 2669

∴ So the LCM of the given numbers is 2 x 10 x 2669 = 53380

Least Common Multiple of 20,5338 with GCF Formula

Least Common Multiple of 20,5338 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 20,5338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,5338) = 2

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

GCF(20,5338) x common factors =2 x 1 = 2

LCM(20,5338) = ( 20 × 5338 ) / 2

LCM(20,5338) = 106760 / 2

LCM(20,5338) = 53380


Lets's calculate GCF of 380,3806

2 380, 3806
190, 1903

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53380/2

Therefore the LCM of Fractions 20/380,5338/3806 is 26690

Greatest Common Factor of 380,3806 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,3806 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 3806

List of positive integer factors of 3806 that divides 3806 without a remainder.

1,2,11,22,173,346,1903,3806

Greatest Common Factor

We found the factors 380,3806 . The biggest common factor number is the GCF number.
So the greatest common factor 380,3806 is 2.


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 20/380, 5338/3806

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 20/380, 5338/3806?

Answer: LCM of Numerators as per given numbers 20/380, 5338/3806 is

LCM of Numerators i.e. for 20,5338 is 53380

GCF of denominators i.e. for 380,3806 is 2.

Thus, LCM of Fractions is 26690.Finally, LCM of Fractions for 20/380, 5338/3806 is 26690.