Least Common Multiple of 809/440, 993/318, 102/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/440, 993/318, 102/508 quickly i.e. 13656729 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/440, 993/318, 102/508 is 13656729.

LCM(809/440, 993/318, 102/508) = 13656729

LCM of 809/440, 993/318, 102/508

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 809/440,993/318,102/508

Given numbers are 809/440,993/318,102/508

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 809,993,102

Least Common Multiple of Numerators i.e. LCM of 809,993,102 is 27313458.

GCF of Denominators means GCF of 440,318,508 as per the given fractions.

GCF of 440,318,508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,993,102

LCM of Fractions 809/440,993/318,102/508 is 13656729

3 809, 993, 102
809, 331, 34

∴ So the LCM of the given numbers is 3 x 809 x 331 x 34 = 27313458

Least Common Multiple of 809,993,102 with GCF Formula

Least Common Multiple of 809,993,102 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 809,993,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,993,102) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(809,993,102) x common factors =1 x 3 = 3

LCM(809,993,102) = ( 809 × 993 × 102 ) / 3

LCM(809,993,102) = 81940374 / 3

LCM(809,993,102) = 27313458


Lets's calculate GCF of 440,318,508

2 440, 318, 508
220, 159, 254

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27313458/2

Therefore the LCM of Fractions 809/440,993/318,102/508 is 13656729

Greatest Common Factor of 440,318,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,318,508 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 440,318,508 . The biggest common factor number is the GCF number.
So the greatest common factor 440,318,508 is 2.


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 809/440, 993/318, 102/508

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 809/440, 993/318, 102/508?

Answer: LCM of Numerators as per given numbers 809/440, 993/318, 102/508 is

LCM of Numerators i.e. for 809,993,102 is 27313458

GCF of denominators i.e. for 440,318,508 is 2.

Thus, LCM of Fractions is 13656729.Finally, LCM of Fractions for 809/440, 993/318, 102/508 is 13656729.