Least Common Multiple of 412/113, 393/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 412/113, 393/518 quickly i.e. 161916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/113, 393/518 is 161916.

LCM(412/113, 393/518) = 161916

LCM of 412/113, 393/518

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 412/113,393/518

Given numbers are 412/113,393/518

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 412,393

Least Common Multiple of Numerators i.e. LCM of 412,393 is 161916.

GCF of Denominators means GCF of 113,518 as per the given fractions.

GCF of 113,518 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,393

LCM of Fractions 412/113,393/518 is 161916

Given numbers has no common factors except 1. So, there LCM is their product i.e 161916

Least Common Multiple of 412,393 with GCF Formula

Least Common Multiple of 412,393 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 412,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,393) = 1

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

GCF(412,393) x common factors =1 x 1 = 1

LCM(412,393) = ( 412 × 393 ) / 1

LCM(412,393) = 161916 / 1

LCM(412,393) = 161916


Lets's calculate GCF of 113,518

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161916/1

Therefore the LCM of Fractions 412/113,393/518 is 161916

Greatest Common Factor of 113,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,518 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 113,518 . The biggest common factor number is the GCF number.
So the greatest common factor 113,518 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 412/113, 393/518

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 412/113, 393/518?

Answer: LCM of Numerators as per given numbers 412/113, 393/518 is

LCM of Numerators i.e. for 412,393 is 161916

GCF of denominators i.e. for 113,518 is 1.

Thus, LCM of Fractions is 161916.Finally, LCM of Fractions for 412/113, 393/518 is 161916.