Least Common Multiple of 805/300, 7383/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 805/300, 7383/563 quickly i.e. 258405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 805/300, 7383/563 is 258405.

LCM(805/300, 7383/563) = 258405

LCM of 805/300, 7383/563

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 805/300,7383/563

Given numbers are 805/300,7383/563

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 805,7383

Least Common Multiple of Numerators i.e. LCM of 805,7383 is 258405.

GCF of Denominators means GCF of 300,563 as per the given fractions.

GCF of 300,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 805,7383

LCM of Fractions 805/300,7383/563 is 258405

23 805, 7383
35, 321

∴ So the LCM of the given numbers is 23 x 35 x 321 = 258405

Least Common Multiple of 805,7383 with GCF Formula

Least Common Multiple of 805,7383 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 805,7383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,7383) = 23

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

GCF(805,7383) x common factors =23 x 1 = 23

LCM(805,7383) = ( 805 × 7383 ) / 23

LCM(805,7383) = 5943315 / 23

LCM(805,7383) = 258405


Lets's calculate GCF of 300,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258405/1

Therefore the LCM of Fractions 805/300,7383/563 is 258405

Greatest Common Factor of 300,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,563 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 300,563 . The biggest common factor number is the GCF number.
So the greatest common factor 300,563 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 805/300, 7383/563

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 805/300, 7383/563?

Answer: LCM of Numerators as per given numbers 805/300, 7383/563 is

LCM of Numerators i.e. for 805,7383 is 258405

GCF of denominators i.e. for 300,563 is 1.

Thus, LCM of Fractions is 258405.Finally, LCM of Fractions for 805/300, 7383/563 is 258405.