Least Common Multiple of 43/328, 23/713, 649/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/328, 23/713, 649/806 quickly i.e. 641861 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/328, 23/713, 649/806 is 641861.

LCM(43/328, 23/713, 649/806) = 641861

LCM of 43/328, 23/713, 649/806

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 43/328,23/713,649/806

Given numbers are 43/328,23/713,649/806

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 43,23,649

Least Common Multiple of Numerators i.e. LCM of 43,23,649 is 641861.

GCF of Denominators means GCF of 328,713,806 as per the given fractions.

GCF of 328,713,806 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,23,649

LCM of Fractions 43/328,23/713,649/806 is 641861

Given numbers has no common factors except 1. So, there LCM is their product i.e 641861

Least Common Multiple of 43,23,649 with GCF Formula

Least Common Multiple of 43,23,649 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 43,23,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,23,649) = 1

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

GCF(43,23,649) x common factors =1 x 1 = 1

LCM(43,23,649) = ( 43 × 23 × 649 ) / 1

LCM(43,23,649) = 641861 / 1

LCM(43,23,649) = 641861


Lets's calculate GCF of 328,713,806

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 641861/1

Therefore the LCM of Fractions 43/328,23/713,649/806 is 641861

Greatest Common Factor of 328,713,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,713,806 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 328,713,806 . The biggest common factor number is the GCF number.
So the greatest common factor 328,713,806 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 43/328, 23/713, 649/806

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 43/328, 23/713, 649/806?

Answer: LCM of Numerators as per given numbers 43/328, 23/713, 649/806 is

LCM of Numerators i.e. for 43,23,649 is 641861

GCF of denominators i.e. for 328,713,806 is 1.

Thus, LCM of Fractions is 641861.Finally, LCM of Fractions for 43/328, 23/713, 649/806 is 641861.