Least Common Multiple of 858/13, 393/8314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 858/13, 393/8314 quickly i.e. 112398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 858/13, 393/8314 is 112398.

LCM(858/13, 393/8314) = 112398

LCM of 858/13, 393/8314

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 858/13,393/8314

Given numbers are 858/13,393/8314

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 858,393

Least Common Multiple of Numerators i.e. LCM of 858,393 is 112398.

GCF of Denominators means GCF of 13,8314 as per the given fractions.

GCF of 13,8314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 858,393

LCM of Fractions 858/13,393/8314 is 112398

3 858, 393
286, 131

∴ So the LCM of the given numbers is 3 x 286 x 131 = 112398

Least Common Multiple of 858,393 with GCF Formula

Least Common Multiple of 858,393 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 858,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,393) = 3

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

GCF(858,393) x common factors =3 x 1 = 3

LCM(858,393) = ( 858 × 393 ) / 3

LCM(858,393) = 337194 / 3

LCM(858,393) = 112398


Lets's calculate GCF of 13,8314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112398/1

Therefore the LCM of Fractions 858/13,393/8314 is 112398

Greatest Common Factor of 13,8314 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,8314 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 8314

List of positive integer factors of 8314 that divides 8314 without a remainder.

1,2,4157,8314

Greatest Common Factor

We found the factors 13,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 13,8314 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 858/13, 393/8314

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 858/13, 393/8314?

Answer: LCM of Numerators as per given numbers 858/13, 393/8314 is

LCM of Numerators i.e. for 858,393 is 112398

GCF of denominators i.e. for 13,8314 is 1.

Thus, LCM of Fractions is 112398.Finally, LCM of Fractions for 858/13, 393/8314 is 112398.