Least Common Multiple of 31/706, 5929/2721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/706, 5929/2721 quickly i.e. 183799 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/706, 5929/2721 is 183799.

LCM(31/706, 5929/2721) = 183799

LCM of 31/706, 5929/2721

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 31/706,5929/2721

Given numbers are 31/706,5929/2721

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 31,5929

Least Common Multiple of Numerators i.e. LCM of 31,5929 is 183799.

GCF of Denominators means GCF of 706,2721 as per the given fractions.

GCF of 706,2721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,5929

LCM of Fractions 31/706,5929/2721 is 183799

Given numbers has no common factors except 1. So, there LCM is their product i.e 183799

Least Common Multiple of 31,5929 with GCF Formula

Least Common Multiple of 31,5929 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 31,5929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,5929) = 1

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

GCF(31,5929) x common factors =1 x 1 = 1

LCM(31,5929) = ( 31 × 5929 ) / 1

LCM(31,5929) = 183799 / 1

LCM(31,5929) = 183799


Lets's calculate GCF of 706,2721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183799/1

Therefore the LCM of Fractions 31/706,5929/2721 is 183799

Greatest Common Factor of 706,2721 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,2721 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 2721

List of positive integer factors of 2721 that divides 2721 without a remainder.

1,3,907,2721

Greatest Common Factor

We found the factors 706,2721 . The biggest common factor number is the GCF number.
So the greatest common factor 706,2721 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 31/706, 5929/2721

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 31/706, 5929/2721?

Answer: LCM of Numerators as per given numbers 31/706, 5929/2721 is

LCM of Numerators i.e. for 31,5929 is 183799

GCF of denominators i.e. for 706,2721 is 1.

Thus, LCM of Fractions is 183799.Finally, LCM of Fractions for 31/706, 5929/2721 is 183799.