Least Common Multiple of 31/494, 279/408, 724/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/494, 279/408, 724/409 quickly i.e. 201996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/494, 279/408, 724/409 is 201996.

LCM(31/494, 279/408, 724/409) = 201996

LCM of 31/494, 279/408, 724/409

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 31/494,279/408,724/409

Given numbers are 31/494,279/408,724/409

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 31,279,724

Least Common Multiple of Numerators i.e. LCM of 31,279,724 is 201996.

GCF of Denominators means GCF of 494,408,409 as per the given fractions.

GCF of 494,408,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,279,724

LCM of Fractions 31/494,279/408,724/409 is 201996

31 31, 279, 724
1, 9, 724

∴ So the LCM of the given numbers is 31 x 1 x 9 x 724 = 201996

Least Common Multiple of 31,279,724 with GCF Formula

Least Common Multiple of 31,279,724 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 31,279,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,279,724) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(31,279,724) x common factors =1 x 31 = 31

LCM(31,279,724) = ( 31 × 279 × 724 ) / 31

LCM(31,279,724) = 6261876 / 31

LCM(31,279,724) = 201996


Lets's calculate GCF of 494,408,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201996/1

Therefore the LCM of Fractions 31/494,279/408,724/409 is 201996

Greatest Common Factor of 494,408,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,408,409 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 494,408,409 . The biggest common factor number is the GCF number.
So the greatest common factor 494,408,409 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 31/494, 279/408, 724/409

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 31/494, 279/408, 724/409?

Answer: LCM of Numerators as per given numbers 31/494, 279/408, 724/409 is

LCM of Numerators i.e. for 31,279,724 is 201996

GCF of denominators i.e. for 494,408,409 is 1.

Thus, LCM of Fractions is 201996.Finally, LCM of Fractions for 31/494, 279/408, 724/409 is 201996.