Least Common Multiple of 521/441, 8487/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 521/441, 8487/344 quickly i.e. 4421727 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 521/441, 8487/344 is 4421727.

LCM(521/441, 8487/344) = 4421727

LCM of 521/441, 8487/344

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 521/441,8487/344

Given numbers are 521/441,8487/344

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 521,8487

Least Common Multiple of Numerators i.e. LCM of 521,8487 is 4421727.

GCF of Denominators means GCF of 441,344 as per the given fractions.

GCF of 441,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 521,8487

LCM of Fractions 521/441,8487/344 is 4421727

Given numbers has no common factors except 1. So, there LCM is their product i.e 4421727

Least Common Multiple of 521,8487 with GCF Formula

Least Common Multiple of 521,8487 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 521,8487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,8487) = 1

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

GCF(521,8487) x common factors =1 x 1 = 1

LCM(521,8487) = ( 521 × 8487 ) / 1

LCM(521,8487) = 4421727 / 1

LCM(521,8487) = 4421727


Lets's calculate GCF of 441,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4421727/1

Therefore the LCM of Fractions 521/441,8487/344 is 4421727

Greatest Common Factor of 441,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,344 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 441,344 . The biggest common factor number is the GCF number.
So the greatest common factor 441,344 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 521/441, 8487/344

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 521/441, 8487/344?

Answer: LCM of Numerators as per given numbers 521/441, 8487/344 is

LCM of Numerators i.e. for 521,8487 is 4421727

GCF of denominators i.e. for 441,344 is 1.

Thus, LCM of Fractions is 4421727.Finally, LCM of Fractions for 521/441, 8487/344 is 4421727.