Least Common Multiple of 387/204, 6987/3989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 387/204, 6987/3989 quickly i.e. 901323 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/204, 6987/3989 is 901323.

LCM(387/204, 6987/3989) = 901323

LCM of 387/204, 6987/3989

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 387/204,6987/3989

Given numbers are 387/204,6987/3989

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 387,6987

Least Common Multiple of Numerators i.e. LCM of 387,6987 is 901323.

GCF of Denominators means GCF of 204,3989 as per the given fractions.

GCF of 204,3989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,6987

LCM of Fractions 387/204,6987/3989 is 901323

3 387, 6987
129, 2329

∴ So the LCM of the given numbers is 3 x 129 x 2329 = 901323

Least Common Multiple of 387,6987 with GCF Formula

Least Common Multiple of 387,6987 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 387,6987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,6987) = 3

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

GCF(387,6987) x common factors =3 x 1 = 3

LCM(387,6987) = ( 387 × 6987 ) / 3

LCM(387,6987) = 2703969 / 3

LCM(387,6987) = 901323


Lets's calculate GCF of 204,3989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 901323/1

Therefore the LCM of Fractions 387/204,6987/3989 is 901323

Greatest Common Factor of 204,3989 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,3989 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 3989

List of positive integer factors of 3989 that divides 3989 without a remainder.

1,3989

Greatest Common Factor

We found the factors 204,3989 . The biggest common factor number is the GCF number.
So the greatest common factor 204,3989 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 387/204, 6987/3989

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 387/204, 6987/3989?

Answer: LCM of Numerators as per given numbers 387/204, 6987/3989 is

LCM of Numerators i.e. for 387,6987 is 901323

GCF of denominators i.e. for 204,3989 is 1.

Thus, LCM of Fractions is 901323.Finally, LCM of Fractions for 387/204, 6987/3989 is 901323.