Least Common Multiple of 3087/406, 6735/4287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3087/406, 6735/4287 quickly i.e. 6930315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3087/406, 6735/4287 is 6930315.

LCM(3087/406, 6735/4287) = 6930315

LCM of 3087/406, 6735/4287

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 3087/406,6735/4287

Given numbers are 3087/406,6735/4287

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 3087,6735

Least Common Multiple of Numerators i.e. LCM of 3087,6735 is 6930315.

GCF of Denominators means GCF of 406,4287 as per the given fractions.

GCF of 406,4287 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3087,6735

LCM of Fractions 3087/406,6735/4287 is 6930315

3 3087, 6735
1029, 2245

∴ So the LCM of the given numbers is 3 x 1029 x 2245 = 6930315

Least Common Multiple of 3087,6735 with GCF Formula

Least Common Multiple of 3087,6735 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 3087,6735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3087,6735) = 3

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

GCF(3087,6735) x common factors =3 x 1 = 3

LCM(3087,6735) = ( 3087 × 6735 ) / 3

LCM(3087,6735) = 20790945 / 3

LCM(3087,6735) = 6930315


Lets's calculate GCF of 406,4287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6930315/1

Therefore the LCM of Fractions 3087/406,6735/4287 is 6930315

Greatest Common Factor of 406,4287 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,4287 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 4287

List of positive integer factors of 4287 that divides 4287 without a remainder.

1,3,1429,4287

Greatest Common Factor

We found the factors 406,4287 . The biggest common factor number is the GCF number.
So the greatest common factor 406,4287 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 3087/406, 6735/4287

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 3087/406, 6735/4287?

Answer: LCM of Numerators as per given numbers 3087/406, 6735/4287 is

LCM of Numerators i.e. for 3087,6735 is 6930315

GCF of denominators i.e. for 406,4287 is 1.

Thus, LCM of Fractions is 6930315.Finally, LCM of Fractions for 3087/406, 6735/4287 is 6930315.