Least Common Multiple of 31/806, 20/309, 922/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/806, 20/309, 922/918 quickly i.e. 285820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/806, 20/309, 922/918 is 285820.

LCM(31/806, 20/309, 922/918) = 285820

LCM of 31/806, 20/309, 922/918

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 31/806,20/309,922/918

Given numbers are 31/806,20/309,922/918

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 31,20,922

Least Common Multiple of Numerators i.e. LCM of 31,20,922 is 285820.

GCF of Denominators means GCF of 806,309,918 as per the given fractions.

GCF of 806,309,918 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,20,922

LCM of Fractions 31/806,20/309,922/918 is 285820

2 31, 20, 922
31, 10, 461

∴ So the LCM of the given numbers is 2 x 31 x 10 x 461 = 285820

Least Common Multiple of 31,20,922 with GCF Formula

Least Common Multiple of 31,20,922 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 31,20,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,20,922) = 1

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

GCF(31,20,922) x common factors =1 x 2 = 2

LCM(31,20,922) = ( 31 × 20 × 922 ) / 2

LCM(31,20,922) = 571640 / 2

LCM(31,20,922) = 285820


Lets's calculate GCF of 806,309,918

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285820/1

Therefore the LCM of Fractions 31/806,20/309,922/918 is 285820

Greatest Common Factor of 806,309,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,309,918 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 309

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

1,3,103,309

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 806,309,918 . The biggest common factor number is the GCF number.
So the greatest common factor 806,309,918 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 31/806, 20/309, 922/918

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 31/806, 20/309, 922/918?

Answer: LCM of Numerators as per given numbers 31/806, 20/309, 922/918 is

LCM of Numerators i.e. for 31,20,922 is 285820

GCF of denominators i.e. for 806,309,918 is 1.

Thus, LCM of Fractions is 285820.Finally, LCM of Fractions for 31/806, 20/309, 922/918 is 285820.