Least Common Multiple of 723/79, 413/8349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/79, 413/8349 quickly i.e. 298599 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/79, 413/8349 is 298599.

LCM(723/79, 413/8349) = 298599

LCM of 723/79, 413/8349

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 723/79,413/8349

Given numbers are 723/79,413/8349

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 723,413

Least Common Multiple of Numerators i.e. LCM of 723,413 is 298599.

GCF of Denominators means GCF of 79,8349 as per the given fractions.

GCF of 79,8349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,413

LCM of Fractions 723/79,413/8349 is 298599

Given numbers has no common factors except 1. So, there LCM is their product i.e 298599

Least Common Multiple of 723,413 with GCF Formula

Least Common Multiple of 723,413 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 723,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,413) = 1

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

GCF(723,413) x common factors =1 x 1 = 1

LCM(723,413) = ( 723 × 413 ) / 1

LCM(723,413) = 298599 / 1

LCM(723,413) = 298599


Lets's calculate GCF of 79,8349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298599/1

Therefore the LCM of Fractions 723/79,413/8349 is 298599

Greatest Common Factor of 79,8349 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,8349 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 8349

List of positive integer factors of 8349 that divides 8349 without a remainder.

1,3,11,23,33,69,121,253,363,759,2783,8349

Greatest Common Factor

We found the factors 79,8349 . The biggest common factor number is the GCF number.
So the greatest common factor 79,8349 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 723/79, 413/8349

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 723/79, 413/8349?

Answer: LCM of Numerators as per given numbers 723/79, 413/8349 is

LCM of Numerators i.e. for 723,413 is 298599

GCF of denominators i.e. for 79,8349 is 1.

Thus, LCM of Fractions is 298599.Finally, LCM of Fractions for 723/79, 413/8349 is 298599.