Least Common Multiple of 8040/384, 3890/3995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8040/384, 3890/3995 quickly i.e. 3127560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8040/384, 3890/3995 is 3127560.

LCM(8040/384, 3890/3995) = 3127560

LCM of 8040/384, 3890/3995

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 8040/384,3890/3995

Given numbers are 8040/384,3890/3995

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 8040,3890

Least Common Multiple of Numerators i.e. LCM of 8040,3890 is 3127560.

GCF of Denominators means GCF of 384,3995 as per the given fractions.

GCF of 384,3995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8040,3890

LCM of Fractions 8040/384,3890/3995 is 3127560

2 8040, 3890
5 4020, 1945
804, 389

∴ So the LCM of the given numbers is 2 x 5 x 804 x 389 = 3127560

Least Common Multiple of 8040,3890 with GCF Formula

Least Common Multiple of 8040,3890 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 8040,3890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8040,3890) = 10

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

GCF(8040,3890) x common factors =10 x 1 = 10

LCM(8040,3890) = ( 8040 × 3890 ) / 10

LCM(8040,3890) = 31275600 / 10

LCM(8040,3890) = 3127560


Lets's calculate GCF of 384,3995

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3127560/1

Therefore the LCM of Fractions 8040/384,3890/3995 is 3127560

Greatest Common Factor of 384,3995 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,3995 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 3995

List of positive integer factors of 3995 that divides 3995 without a remainder.

1,5,17,47,85,235,799,3995

Greatest Common Factor

We found the factors 384,3995 . The biggest common factor number is the GCF number.
So the greatest common factor 384,3995 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 8040/384, 3890/3995

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 8040/384, 3890/3995?

Answer: LCM of Numerators as per given numbers 8040/384, 3890/3995 is

LCM of Numerators i.e. for 8040,3890 is 3127560

GCF of denominators i.e. for 384,3995 is 1.

Thus, LCM of Fractions is 3127560.Finally, LCM of Fractions for 8040/384, 3890/3995 is 3127560.