Least Common Multiple of 31/408, 38/418, 892/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/408, 38/418, 892/481 quickly i.e. 525388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/408, 38/418, 892/481 is 525388.

LCM(31/408, 38/418, 892/481) = 525388

LCM of 31/408, 38/418, 892/481

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 31/408,38/418,892/481

Given numbers are 31/408,38/418,892/481

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 31,38,892

Least Common Multiple of Numerators i.e. LCM of 31,38,892 is 525388.

GCF of Denominators means GCF of 408,418,481 as per the given fractions.

GCF of 408,418,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,38,892

LCM of Fractions 31/408,38/418,892/481 is 525388

2 31, 38, 892
31, 19, 446

∴ So the LCM of the given numbers is 2 x 31 x 19 x 446 = 525388

Least Common Multiple of 31,38,892 with GCF Formula

Least Common Multiple of 31,38,892 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 31,38,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,38,892) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,38,892) x common factors =1 x 2 = 2

LCM(31,38,892) = ( 31 × 38 × 892 ) / 2

LCM(31,38,892) = 1050776 / 2

LCM(31,38,892) = 525388


Lets's calculate GCF of 408,418,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 525388/1

Therefore the LCM of Fractions 31/408,38/418,892/481 is 525388

Greatest Common Factor of 408,418,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,418,481 By Matching Biggest Common Factor Method

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 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

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 408,418,481 . The biggest common factor number is the GCF number.
So the greatest common factor 408,418,481 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 31/408, 38/418, 892/481

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 31/408, 38/418, 892/481?

Answer: LCM of Numerators as per given numbers 31/408, 38/418, 892/481 is

LCM of Numerators i.e. for 31,38,892 is 525388

GCF of denominators i.e. for 408,418,481 is 1.

Thus, LCM of Fractions is 525388.Finally, LCM of Fractions for 31/408, 38/418, 892/481 is 525388.