Least Common Multiple of 720/83, 683/4317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/83, 683/4317 quickly i.e. 491760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/83, 683/4317 is 491760.

LCM(720/83, 683/4317) = 491760

LCM of 720/83, 683/4317

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 720/83,683/4317

Given numbers are 720/83,683/4317

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 720,683

Least Common Multiple of Numerators i.e. LCM of 720,683 is 491760.

GCF of Denominators means GCF of 83,4317 as per the given fractions.

GCF of 83,4317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,683

LCM of Fractions 720/83,683/4317 is 491760

Given numbers has no common factors except 1. So, there LCM is their product i.e 491760

Least Common Multiple of 720,683 with GCF Formula

Least Common Multiple of 720,683 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 720,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,683) = 1

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

GCF(720,683) x common factors =1 x 1 = 1

LCM(720,683) = ( 720 × 683 ) / 1

LCM(720,683) = 491760 / 1

LCM(720,683) = 491760


Lets's calculate GCF of 83,4317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 491760/1

Therefore the LCM of Fractions 720/83,683/4317 is 491760

Greatest Common Factor of 83,4317 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,4317 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 4317

List of positive integer factors of 4317 that divides 4317 without a remainder.

1,3,1439,4317

Greatest Common Factor

We found the factors 83,4317 . The biggest common factor number is the GCF number.
So the greatest common factor 83,4317 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 720/83, 683/4317

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 720/83, 683/4317?

Answer: LCM of Numerators as per given numbers 720/83, 683/4317 is

LCM of Numerators i.e. for 720,683 is 491760

GCF of denominators i.e. for 83,4317 is 1.

Thus, LCM of Fractions is 491760.Finally, LCM of Fractions for 720/83, 683/4317 is 491760.