Least Common Multiple of 731/43, 723/3549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 731/43, 723/3549 quickly i.e. 528513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 731/43, 723/3549 is 528513.

LCM(731/43, 723/3549) = 528513

LCM of 731/43, 723/3549

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 731/43,723/3549

Given numbers are 731/43,723/3549

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 731,723

Least Common Multiple of Numerators i.e. LCM of 731,723 is 528513.

GCF of Denominators means GCF of 43,3549 as per the given fractions.

GCF of 43,3549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 731,723

LCM of Fractions 731/43,723/3549 is 528513

Given numbers has no common factors except 1. So, there LCM is their product i.e 528513

Least Common Multiple of 731,723 with GCF Formula

Least Common Multiple of 731,723 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 731,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,723) = 1

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

GCF(731,723) x common factors =1 x 1 = 1

LCM(731,723) = ( 731 × 723 ) / 1

LCM(731,723) = 528513 / 1

LCM(731,723) = 528513


Lets's calculate GCF of 43,3549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528513/1

Therefore the LCM of Fractions 731/43,723/3549 is 528513

Greatest Common Factor of 43,3549 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,3549 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 3549

List of positive integer factors of 3549 that divides 3549 without a remainder.

1,3,7,13,21,39,91,169,273,507,1183,3549

Greatest Common Factor

We found the factors 43,3549 . The biggest common factor number is the GCF number.
So the greatest common factor 43,3549 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 731/43, 723/3549

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 731/43, 723/3549?

Answer: LCM of Numerators as per given numbers 731/43, 723/3549 is

LCM of Numerators i.e. for 731,723 is 528513

GCF of denominators i.e. for 43,3549 is 1.

Thus, LCM of Fractions is 528513.Finally, LCM of Fractions for 731/43, 723/3549 is 528513.