Least Common Multiple of 193/72, 478/38, 827/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 193/72, 478/38, 827/404 quickly i.e. 38147029 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 193/72, 478/38, 827/404 is 38147029.

LCM(193/72, 478/38, 827/404) = 38147029

LCM of 193/72, 478/38, 827/404

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 193/72,478/38,827/404

Given numbers are 193/72,478/38,827/404

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 193,478,827

Least Common Multiple of Numerators i.e. LCM of 193,478,827 is 76294058.

GCF of Denominators means GCF of 72,38,404 as per the given fractions.

GCF of 72,38,404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 193,478,827

LCM of Fractions 193/72,478/38,827/404 is 38147029

Given numbers has no common factors except 1. So, there LCM is their product i.e 76294058

Least Common Multiple of 193,478,827 with GCF Formula

Least Common Multiple of 193,478,827 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 193,478,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(193,478,827) = 1

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

GCF(193,478,827) x common factors =1 x 1 = 1

LCM(193,478,827) = ( 193 × 478 × 827 ) / 1

LCM(193,478,827) = 76294058 / 1

LCM(193,478,827) = 76294058


Lets's calculate GCF of 72,38,404

2 72, 38, 404
36, 19, 202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76294058/2

Therefore the LCM of Fractions 193/72,478/38,827/404 is 38147029

Greatest Common Factor of 72,38,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,38,404 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 72,38,404 . The biggest common factor number is the GCF number.
So the greatest common factor 72,38,404 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 193/72, 478/38, 827/404

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 193/72, 478/38, 827/404?

Answer: LCM of Numerators as per given numbers 193/72, 478/38, 827/404 is

LCM of Numerators i.e. for 193,478,827 is 76294058

GCF of denominators i.e. for 72,38,404 is 2.

Thus, LCM of Fractions is 38147029.Finally, LCM of Fractions for 193/72, 478/38, 827/404 is 38147029.