Least Common Multiple of 6585/639, 7399/9687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6585/639, 7399/9687 quickly i.e. 16240805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6585/639, 7399/9687 is 16240805.

LCM(6585/639, 7399/9687) = 16240805

LCM of 6585/639, 7399/9687

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 6585/639,7399/9687

Given numbers are 6585/639,7399/9687

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 6585,7399

Least Common Multiple of Numerators i.e. LCM of 6585,7399 is 48722415.

GCF of Denominators means GCF of 639,9687 as per the given fractions.

GCF of 639,9687 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6585,7399

LCM of Fractions 6585/639,7399/9687 is 16240805

Given numbers has no common factors except 1. So, there LCM is their product i.e 48722415

Least Common Multiple of 6585,7399 with GCF Formula

Least Common Multiple of 6585,7399 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 6585,7399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6585,7399) = 1

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

GCF(6585,7399) x common factors =1 x 1 = 1

LCM(6585,7399) = ( 6585 × 7399 ) / 1

LCM(6585,7399) = 48722415 / 1

LCM(6585,7399) = 48722415


Lets's calculate GCF of 639,9687

3 639, 9687
213, 3229

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48722415/3

Therefore the LCM of Fractions 6585/639,7399/9687 is 16240805

Greatest Common Factor of 639,9687 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,9687 By Matching Biggest Common Factor Method

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 9687

List of positive integer factors of 9687 that divides 9687 without a remainder.

1,3,3229,9687

Greatest Common Factor

We found the factors 639,9687 . The biggest common factor number is the GCF number.
So the greatest common factor 639,9687 is 3.


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 6585/639, 7399/9687

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 6585/639, 7399/9687?

Answer: LCM of Numerators as per given numbers 6585/639, 7399/9687 is

LCM of Numerators i.e. for 6585,7399 is 48722415

GCF of denominators i.e. for 639,9687 is 3.

Thus, LCM of Fractions is 16240805.Finally, LCM of Fractions for 6585/639, 7399/9687 is 16240805.