Least Common Multiple of 809/28, 281/7320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/28, 281/7320 quickly i.e. 227329/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/28, 281/7320 is 227329/4.

LCM(809/28, 281/7320) = 227329/4

LCM of 809/28, 281/7320

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 809/28,281/7320

Given numbers are 809/28,281/7320

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 809,281

Least Common Multiple of Numerators i.e. LCM of 809,281 is 227329.

GCF of Denominators means GCF of 28,7320 as per the given fractions.

GCF of 28,7320 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,281

LCM of Fractions 809/28,281/7320 is 227329/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 227329

Least Common Multiple of 809,281 with GCF Formula

Least Common Multiple of 809,281 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 809,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,281) = 1

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

GCF(809,281) x common factors =1 x 1 = 1

LCM(809,281) = ( 809 × 281 ) / 1

LCM(809,281) = 227329 / 1

LCM(809,281) = 227329


Lets's calculate GCF of 28,7320

2 28, 7320
2 14, 3660
7, 1830

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227329/4

Therefore the LCM of Fractions 809/28,281/7320 is 227329/4

Greatest Common Factor of 28,7320 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,7320 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 7320

List of positive integer factors of 7320 that divides 7320 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320

Greatest Common Factor

We found the factors 28,7320 . The biggest common factor number is the GCF number.
So the greatest common factor 28,7320 is 4.


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 809/28, 281/7320

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 809/28, 281/7320?

Answer: LCM of Numerators as per given numbers 809/28, 281/7320 is

LCM of Numerators i.e. for 809,281 is 227329

GCF of denominators i.e. for 28,7320 is 4.

Thus, LCM of Fractions is 227329/4.Finally, LCM of Fractions for 809/28, 281/7320 is 227329/4.