Least Common Multiple of 915/649, 4005/6809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 915/649, 4005/6809 quickly i.e. 244305/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 915/649, 4005/6809 is 244305/11.

LCM(915/649, 4005/6809) = 244305/11

LCM of 915/649, 4005/6809

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 915/649,4005/6809

Given numbers are 915/649,4005/6809

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 915,4005

Least Common Multiple of Numerators i.e. LCM of 915,4005 is 244305.

GCF of Denominators means GCF of 649,6809 as per the given fractions.

GCF of 649,6809 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 915,4005

LCM of Fractions 915/649,4005/6809 is 244305/11

3 915, 4005
5 305, 1335
61, 267

∴ So the LCM of the given numbers is 3 x 5 x 61 x 267 = 244305

Least Common Multiple of 915,4005 with GCF Formula

Least Common Multiple of 915,4005 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 915,4005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,4005) = 15

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

GCF(915,4005) x common factors =15 x 1 = 15

LCM(915,4005) = ( 915 × 4005 ) / 15

LCM(915,4005) = 3664575 / 15

LCM(915,4005) = 244305


Lets's calculate GCF of 649,6809

11 649, 6809
59, 619

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244305/11

Therefore the LCM of Fractions 915/649,4005/6809 is 244305/11

Greatest Common Factor of 649,6809 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,6809 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 6809

List of positive integer factors of 6809 that divides 6809 without a remainder.

1,11,619,6809

Greatest Common Factor

We found the factors 649,6809 . The biggest common factor number is the GCF number.
So the greatest common factor 649,6809 is 11.


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 915/649, 4005/6809

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 915/649, 4005/6809?

Answer: LCM of Numerators as per given numbers 915/649, 4005/6809 is

LCM of Numerators i.e. for 915,4005 is 244305

GCF of denominators i.e. for 649,6809 is 11.

Thus, LCM of Fractions is 244305/11.Finally, LCM of Fractions for 915/649, 4005/6809 is 244305/11.