Least Common Multiple of 809/16, 704/24, 545/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/16, 704/24, 545/819 quickly i.e. 310397120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/16, 704/24, 545/819 is 310397120.

LCM(809/16, 704/24, 545/819) = 310397120

LCM of 809/16, 704/24, 545/819

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 809/16,704/24,545/819

Given numbers are 809/16,704/24,545/819

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 809,704,545

Least Common Multiple of Numerators i.e. LCM of 809,704,545 is 310397120.

GCF of Denominators means GCF of 16,24,819 as per the given fractions.

GCF of 16,24,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,704,545

LCM of Fractions 809/16,704/24,545/819 is 310397120

Given numbers has no common factors except 1. So, there LCM is their product i.e 310397120

Least Common Multiple of 809,704,545 with GCF Formula

Least Common Multiple of 809,704,545 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 809,704,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,704,545) = 1

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

GCF(809,704,545) x common factors =1 x 1 = 1

LCM(809,704,545) = ( 809 × 704 × 545 ) / 1

LCM(809,704,545) = 310397120 / 1

LCM(809,704,545) = 310397120


Lets's calculate GCF of 16,24,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310397120/1

Therefore the LCM of Fractions 809/16,704/24,545/819 is 310397120

Greatest Common Factor of 16,24,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,24,819 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 16,24,819 . The biggest common factor number is the GCF number.
So the greatest common factor 16,24,819 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 809/16, 704/24, 545/819

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 809/16, 704/24, 545/819?

Answer: LCM of Numerators as per given numbers 809/16, 704/24, 545/819 is

LCM of Numerators i.e. for 809,704,545 is 310397120

GCF of denominators i.e. for 16,24,819 is 1.

Thus, LCM of Fractions is 310397120.Finally, LCM of Fractions for 809/16, 704/24, 545/819 is 310397120.