Least Common Multiple of 83/809, 3129/9733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/809, 3129/9733 quickly i.e. 259707 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/809, 3129/9733 is 259707.

LCM(83/809, 3129/9733) = 259707

LCM of 83/809, 3129/9733

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 83/809,3129/9733

Given numbers are 83/809,3129/9733

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 83,3129

Least Common Multiple of Numerators i.e. LCM of 83,3129 is 259707.

GCF of Denominators means GCF of 809,9733 as per the given fractions.

GCF of 809,9733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,3129

LCM of Fractions 83/809,3129/9733 is 259707

Given numbers has no common factors except 1. So, there LCM is their product i.e 259707

Least Common Multiple of 83,3129 with GCF Formula

Least Common Multiple of 83,3129 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 83,3129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,3129) = 1

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

GCF(83,3129) x common factors =1 x 1 = 1

LCM(83,3129) = ( 83 × 3129 ) / 1

LCM(83,3129) = 259707 / 1

LCM(83,3129) = 259707


Lets's calculate GCF of 809,9733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259707/1

Therefore the LCM of Fractions 83/809,3129/9733 is 259707

Greatest Common Factor of 809,9733 By Matching Biggest Common Factor Method

Greatest Common Factor of 809,9733 By Matching Biggest Common Factor Method

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 9733

List of positive integer factors of 9733 that divides 9733 without a remainder.

1,9733

Greatest Common Factor

We found the factors 809,9733 . The biggest common factor number is the GCF number.
So the greatest common factor 809,9733 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 83/809, 3129/9733

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 83/809, 3129/9733?

Answer: LCM of Numerators as per given numbers 83/809, 3129/9733 is

LCM of Numerators i.e. for 83,3129 is 259707

GCF of denominators i.e. for 809,9733 is 1.

Thus, LCM of Fractions is 259707.Finally, LCM of Fractions for 83/809, 3129/9733 is 259707.