Least Common Multiple of 538/89, 386/1393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 538/89, 386/1393 quickly i.e. 103834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 538/89, 386/1393 is 103834.

LCM(538/89, 386/1393) = 103834

LCM of 538/89, 386/1393

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 538/89,386/1393

Given numbers are 538/89,386/1393

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 538,386

Least Common Multiple of Numerators i.e. LCM of 538,386 is 103834.

GCF of Denominators means GCF of 89,1393 as per the given fractions.

GCF of 89,1393 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 538,386

LCM of Fractions 538/89,386/1393 is 103834

2 538, 386
269, 193

∴ So the LCM of the given numbers is 2 x 269 x 193 = 103834

Least Common Multiple of 538,386 with GCF Formula

Least Common Multiple of 538,386 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 538,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,386) = 2

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

GCF(538,386) x common factors =2 x 1 = 2

LCM(538,386) = ( 538 × 386 ) / 2

LCM(538,386) = 207668 / 2

LCM(538,386) = 103834


Lets's calculate GCF of 89,1393

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103834/1

Therefore the LCM of Fractions 538/89,386/1393 is 103834

Greatest Common Factor of 89,1393 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,1393 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 1393

List of positive integer factors of 1393 that divides 1393 without a remainder.

1,7,199,1393

Greatest Common Factor

We found the factors 89,1393 . The biggest common factor number is the GCF number.
So the greatest common factor 89,1393 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 538/89, 386/1393

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 538/89, 386/1393?

Answer: LCM of Numerators as per given numbers 538/89, 386/1393 is

LCM of Numerators i.e. for 538,386 is 103834

GCF of denominators i.e. for 89,1393 is 1.

Thus, LCM of Fractions is 103834.Finally, LCM of Fractions for 538/89, 386/1393 is 103834.