Least Common Multiple of 5613/723, 9417/4467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5613/723, 9417/4467 quickly i.e. 5873069 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5613/723, 9417/4467 is 5873069.

LCM(5613/723, 9417/4467) = 5873069

LCM of 5613/723, 9417/4467

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 5613/723,9417/4467

Given numbers are 5613/723,9417/4467

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 5613,9417

Least Common Multiple of Numerators i.e. LCM of 5613,9417 is 17619207.

GCF of Denominators means GCF of 723,4467 as per the given fractions.

GCF of 723,4467 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5613,9417

LCM of Fractions 5613/723,9417/4467 is 5873069

3 5613, 9417
1871, 3139

∴ So the LCM of the given numbers is 3 x 1871 x 3139 = 17619207

Least Common Multiple of 5613,9417 with GCF Formula

Least Common Multiple of 5613,9417 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 5613,9417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5613,9417) = 3

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

GCF(5613,9417) x common factors =3 x 1 = 3

LCM(5613,9417) = ( 5613 × 9417 ) / 3

LCM(5613,9417) = 52857621 / 3

LCM(5613,9417) = 17619207


Lets's calculate GCF of 723,4467

3 723, 4467
241, 1489

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17619207/3

Therefore the LCM of Fractions 5613/723,9417/4467 is 5873069

Greatest Common Factor of 723,4467 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,4467 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 4467

List of positive integer factors of 4467 that divides 4467 without a remainder.

1,3,1489,4467

Greatest Common Factor

We found the factors 723,4467 . The biggest common factor number is the GCF number.
So the greatest common factor 723,4467 is 3.


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 5613/723, 9417/4467

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 5613/723, 9417/4467?

Answer: LCM of Numerators as per given numbers 5613/723, 9417/4467 is

LCM of Numerators i.e. for 5613,9417 is 17619207

GCF of denominators i.e. for 723,4467 is 3.

Thus, LCM of Fractions is 5873069.Finally, LCM of Fractions for 5613/723, 9417/4467 is 5873069.