Least Common Multiple of 300/800, 5859/2218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/800, 5859/2218 quickly i.e. 292950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/800, 5859/2218 is 292950.

LCM(300/800, 5859/2218) = 292950

LCM of 300/800, 5859/2218

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 300/800,5859/2218

Given numbers are 300/800,5859/2218

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 300,5859

Least Common Multiple of Numerators i.e. LCM of 300,5859 is 585900.

GCF of Denominators means GCF of 800,2218 as per the given fractions.

GCF of 800,2218 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,5859

LCM of Fractions 300/800,5859/2218 is 292950

3 300, 5859
100, 1953

∴ So the LCM of the given numbers is 3 x 100 x 1953 = 585900

Least Common Multiple of 300,5859 with GCF Formula

Least Common Multiple of 300,5859 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 300,5859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,5859) = 3

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

GCF(300,5859) x common factors =3 x 1 = 3

LCM(300,5859) = ( 300 × 5859 ) / 3

LCM(300,5859) = 1757700 / 3

LCM(300,5859) = 585900


Lets's calculate GCF of 800,2218

2 800, 2218
400, 1109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585900/2

Therefore the LCM of Fractions 300/800,5859/2218 is 292950

Greatest Common Factor of 800,2218 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,2218 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 2218

List of positive integer factors of 2218 that divides 2218 without a remainder.

1,2,1109,2218

Greatest Common Factor

We found the factors 800,2218 . The biggest common factor number is the GCF number.
So the greatest common factor 800,2218 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 300/800, 5859/2218

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 300/800, 5859/2218?

Answer: LCM of Numerators as per given numbers 300/800, 5859/2218 is

LCM of Numerators i.e. for 300,5859 is 585900

GCF of denominators i.e. for 800,2218 is 2.

Thus, LCM of Fractions is 292950.Finally, LCM of Fractions for 300/800, 5859/2218 is 292950.