Least Common Multiple of 8306/800, 5858/8824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8306/800, 5858/8824 quickly i.e. 24328274/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8306/800, 5858/8824 is 24328274/8.

LCM(8306/800, 5858/8824) = 24328274/8

LCM of 8306/800, 5858/8824

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 8306/800,5858/8824

Given numbers are 8306/800,5858/8824

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 8306,5858

Least Common Multiple of Numerators i.e. LCM of 8306,5858 is 24328274.

GCF of Denominators means GCF of 800,8824 as per the given fractions.

GCF of 800,8824 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8306,5858

LCM of Fractions 8306/800,5858/8824 is 24328274/8

2 8306, 5858
4153, 2929

∴ So the LCM of the given numbers is 2 x 4153 x 2929 = 24328274

Least Common Multiple of 8306,5858 with GCF Formula

Least Common Multiple of 8306,5858 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 8306,5858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8306,5858) = 2

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

GCF(8306,5858) x common factors =2 x 1 = 2

LCM(8306,5858) = ( 8306 × 5858 ) / 2

LCM(8306,5858) = 48656548 / 2

LCM(8306,5858) = 24328274


Lets's calculate GCF of 800,8824

2 800, 8824
2 400, 4412
2 200, 2206
100, 1103

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24328274/8

Therefore the LCM of Fractions 8306/800,5858/8824 is 24328274/8

Greatest Common Factor of 800,8824 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,8824 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 8824

List of positive integer factors of 8824 that divides 8824 without a remainder.

1,2,4,8,1103,2206,4412,8824

Greatest Common Factor

We found the factors 800,8824 . The biggest common factor number is the GCF number.
So the greatest common factor 800,8824 is 8.


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 8306/800, 5858/8824

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 8306/800, 5858/8824?

Answer: LCM of Numerators as per given numbers 8306/800, 5858/8824 is

LCM of Numerators i.e. for 8306,5858 is 24328274

GCF of denominators i.e. for 800,8824 is 8.

Thus, LCM of Fractions is 24328274/8.Finally, LCM of Fractions for 8306/800, 5858/8824 is 24328274/8.