Least Common Multiple of 386/505, 2004/4279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 386/505, 2004/4279 quickly i.e. 386772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 386/505, 2004/4279 is 386772.

LCM(386/505, 2004/4279) = 386772

LCM of 386/505, 2004/4279

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 386/505,2004/4279

Given numbers are 386/505,2004/4279

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 386,2004

Least Common Multiple of Numerators i.e. LCM of 386,2004 is 386772.

GCF of Denominators means GCF of 505,4279 as per the given fractions.

GCF of 505,4279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 386,2004

LCM of Fractions 386/505,2004/4279 is 386772

2 386, 2004
193, 1002

∴ So the LCM of the given numbers is 2 x 193 x 1002 = 386772

Least Common Multiple of 386,2004 with GCF Formula

Least Common Multiple of 386,2004 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 386,2004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,2004) = 2

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

GCF(386,2004) x common factors =2 x 1 = 2

LCM(386,2004) = ( 386 × 2004 ) / 2

LCM(386,2004) = 773544 / 2

LCM(386,2004) = 386772


Lets's calculate GCF of 505,4279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386772/1

Therefore the LCM of Fractions 386/505,2004/4279 is 386772

Greatest Common Factor of 505,4279 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,4279 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 4279

List of positive integer factors of 4279 that divides 4279 without a remainder.

1,11,389,4279

Greatest Common Factor

We found the factors 505,4279 . The biggest common factor number is the GCF number.
So the greatest common factor 505,4279 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 386/505, 2004/4279

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 386/505, 2004/4279?

Answer: LCM of Numerators as per given numbers 386/505, 2004/4279 is

LCM of Numerators i.e. for 386,2004 is 386772

GCF of denominators i.e. for 505,4279 is 1.

Thus, LCM of Fractions is 386772.Finally, LCM of Fractions for 386/505, 2004/4279 is 386772.