Least Common Multiple of 86/300, 5379/9286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/300, 5379/9286 quickly i.e. 231297 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/300, 5379/9286 is 231297.

LCM(86/300, 5379/9286) = 231297

LCM of 86/300, 5379/9286

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 86/300,5379/9286

Given numbers are 86/300,5379/9286

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 86,5379

Least Common Multiple of Numerators i.e. LCM of 86,5379 is 462594.

GCF of Denominators means GCF of 300,9286 as per the given fractions.

GCF of 300,9286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,5379

LCM of Fractions 86/300,5379/9286 is 231297

Given numbers has no common factors except 1. So, there LCM is their product i.e 462594

Least Common Multiple of 86,5379 with GCF Formula

Least Common Multiple of 86,5379 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 86,5379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,5379) = 1

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

GCF(86,5379) x common factors =1 x 1 = 1

LCM(86,5379) = ( 86 × 5379 ) / 1

LCM(86,5379) = 462594 / 1

LCM(86,5379) = 462594


Lets's calculate GCF of 300,9286

2 300, 9286
150, 4643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462594/2

Therefore the LCM of Fractions 86/300,5379/9286 is 231297

Greatest Common Factor of 300,9286 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,9286 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 9286

List of positive integer factors of 9286 that divides 9286 without a remainder.

1,2,4643,9286

Greatest Common Factor

We found the factors 300,9286 . The biggest common factor number is the GCF number.
So the greatest common factor 300,9286 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 86/300, 5379/9286

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 86/300, 5379/9286?

Answer: LCM of Numerators as per given numbers 86/300, 5379/9286 is

LCM of Numerators i.e. for 86,5379 is 462594

GCF of denominators i.e. for 300,9286 is 2.

Thus, LCM of Fractions is 231297.Finally, LCM of Fractions for 86/300, 5379/9286 is 231297.