Least Common Multiple of 805/829, 441/165, 691/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 805/829, 441/165, 691/540 quickly i.e. 35044065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 805/829, 441/165, 691/540 is 35044065.

LCM(805/829, 441/165, 691/540) = 35044065

LCM of 805/829, 441/165, 691/540

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 805/829,441/165,691/540

Given numbers are 805/829,441/165,691/540

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 805,441,691

Least Common Multiple of Numerators i.e. LCM of 805,441,691 is 35044065.

GCF of Denominators means GCF of 829,165,540 as per the given fractions.

GCF of 829,165,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 805,441,691

LCM of Fractions 805/829,441/165,691/540 is 35044065

7 805, 441, 691
115, 63, 691

∴ So the LCM of the given numbers is 7 x 115 x 63 x 691 = 35044065

Least Common Multiple of 805,441,691 with GCF Formula

Least Common Multiple of 805,441,691 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 805,441,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,441,691) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(805,441,691) x common factors =1 x 7 = 7

LCM(805,441,691) = ( 805 × 441 × 691 ) / 7

LCM(805,441,691) = 245308455 / 7

LCM(805,441,691) = 35044065


Lets's calculate GCF of 829,165,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35044065/1

Therefore the LCM of Fractions 805/829,441/165,691/540 is 35044065

Greatest Common Factor of 829,165,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,165,540 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 829,165,540 . The biggest common factor number is the GCF number.
So the greatest common factor 829,165,540 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 805/829, 441/165, 691/540

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 805/829, 441/165, 691/540?

Answer: LCM of Numerators as per given numbers 805/829, 441/165, 691/540 is

LCM of Numerators i.e. for 805,441,691 is 35044065

GCF of denominators i.e. for 829,165,540 is 1.

Thus, LCM of Fractions is 35044065.Finally, LCM of Fractions for 805/829, 441/165, 691/540 is 35044065.