Least Common Multiple of 765/872, 6449/8641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/872, 6449/8641 quickly i.e. 4933485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/872, 6449/8641 is 4933485.

LCM(765/872, 6449/8641) = 4933485

LCM of 765/872, 6449/8641

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 765/872,6449/8641

Given numbers are 765/872,6449/8641

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 765,6449

Least Common Multiple of Numerators i.e. LCM of 765,6449 is 4933485.

GCF of Denominators means GCF of 872,8641 as per the given fractions.

GCF of 872,8641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,6449

LCM of Fractions 765/872,6449/8641 is 4933485

Given numbers has no common factors except 1. So, there LCM is their product i.e 4933485

Least Common Multiple of 765,6449 with GCF Formula

Least Common Multiple of 765,6449 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 765,6449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,6449) = 1

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

GCF(765,6449) x common factors =1 x 1 = 1

LCM(765,6449) = ( 765 × 6449 ) / 1

LCM(765,6449) = 4933485 / 1

LCM(765,6449) = 4933485


Lets's calculate GCF of 872,8641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4933485/1

Therefore the LCM of Fractions 765/872,6449/8641 is 4933485

Greatest Common Factor of 872,8641 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,8641 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 8641

List of positive integer factors of 8641 that divides 8641 without a remainder.

1,8641

Greatest Common Factor

We found the factors 872,8641 . The biggest common factor number is the GCF number.
So the greatest common factor 872,8641 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 765/872, 6449/8641

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 765/872, 6449/8641?

Answer: LCM of Numerators as per given numbers 765/872, 6449/8641 is

LCM of Numerators i.e. for 765,6449 is 4933485

GCF of denominators i.e. for 872,8641 is 1.

Thus, LCM of Fractions is 4933485.Finally, LCM of Fractions for 765/872, 6449/8641 is 4933485.