Least Common Multiple of 193/40, 382/7193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 193/40, 382/7193 quickly i.e. 73726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 193/40, 382/7193 is 73726.

LCM(193/40, 382/7193) = 73726

LCM of 193/40, 382/7193

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 193/40,382/7193

Given numbers are 193/40,382/7193

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 193,382

Least Common Multiple of Numerators i.e. LCM of 193,382 is 73726.

GCF of Denominators means GCF of 40,7193 as per the given fractions.

GCF of 40,7193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 193,382

LCM of Fractions 193/40,382/7193 is 73726

Given numbers has no common factors except 1. So, there LCM is their product i.e 73726

Least Common Multiple of 193,382 with GCF Formula

Least Common Multiple of 193,382 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 193,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(193,382) = 1

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

GCF(193,382) x common factors =1 x 1 = 1

LCM(193,382) = ( 193 × 382 ) / 1

LCM(193,382) = 73726 / 1

LCM(193,382) = 73726


Lets's calculate GCF of 40,7193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73726/1

Therefore the LCM of Fractions 193/40,382/7193 is 73726

Greatest Common Factor of 40,7193 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,7193 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 7193

List of positive integer factors of 7193 that divides 7193 without a remainder.

1,7193

Greatest Common Factor

We found the factors 40,7193 . The biggest common factor number is the GCF number.
So the greatest common factor 40,7193 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 193/40, 382/7193

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 193/40, 382/7193?

Answer: LCM of Numerators as per given numbers 193/40, 382/7193 is

LCM of Numerators i.e. for 193,382 is 73726

GCF of denominators i.e. for 40,7193 is 1.

Thus, LCM of Fractions is 73726.Finally, LCM of Fractions for 193/40, 382/7193 is 73726.