Least Common Multiple of 31/309, 569/412, 936/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/309, 569/412, 936/481 quickly i.e. 16510104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/309, 569/412, 936/481 is 16510104.

LCM(31/309, 569/412, 936/481) = 16510104

LCM of 31/309, 569/412, 936/481

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 31/309,569/412,936/481

Given numbers are 31/309,569/412,936/481

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 31,569,936

Least Common Multiple of Numerators i.e. LCM of 31,569,936 is 16510104.

GCF of Denominators means GCF of 309,412,481 as per the given fractions.

GCF of 309,412,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,569,936

LCM of Fractions 31/309,569/412,936/481 is 16510104

Given numbers has no common factors except 1. So, there LCM is their product i.e 16510104

Least Common Multiple of 31,569,936 with GCF Formula

Least Common Multiple of 31,569,936 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 31,569,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,569,936) = 1

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

GCF(31,569,936) x common factors =1 x 1 = 1

LCM(31,569,936) = ( 31 × 569 × 936 ) / 1

LCM(31,569,936) = 16510104 / 1

LCM(31,569,936) = 16510104


Lets's calculate GCF of 309,412,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16510104/1

Therefore the LCM of Fractions 31/309,569/412,936/481 is 16510104

Greatest Common Factor of 309,412,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,412,481 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 309,412,481 . The biggest common factor number is the GCF number.
So the greatest common factor 309,412,481 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 31/309, 569/412, 936/481

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 31/309, 569/412, 936/481?

Answer: LCM of Numerators as per given numbers 31/309, 569/412, 936/481 is

LCM of Numerators i.e. for 31,569,936 is 16510104

GCF of denominators i.e. for 309,412,481 is 1.

Thus, LCM of Fractions is 16510104.Finally, LCM of Fractions for 31/309, 569/412, 936/481 is 16510104.