Least Common Multiple of 815/58, 304/20, 227/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 815/58, 304/20, 227/38 quickly i.e. 28120760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 815/58, 304/20, 227/38 is 28120760.

LCM(815/58, 304/20, 227/38) = 28120760

LCM of 815/58, 304/20, 227/38

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 815/58,304/20,227/38

Given numbers are 815/58,304/20,227/38

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 815,304,227

Least Common Multiple of Numerators i.e. LCM of 815,304,227 is 56241520.

GCF of Denominators means GCF of 58,20,38 as per the given fractions.

GCF of 58,20,38 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 815,304,227

LCM of Fractions 815/58,304/20,227/38 is 28120760

Given numbers has no common factors except 1. So, there LCM is their product i.e 56241520

Least Common Multiple of 815,304,227 with GCF Formula

Least Common Multiple of 815,304,227 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 815,304,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,304,227) = 1

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

GCF(815,304,227) x common factors =1 x 1 = 1

LCM(815,304,227) = ( 815 × 304 × 227 ) / 1

LCM(815,304,227) = 56241520 / 1

LCM(815,304,227) = 56241520


Lets's calculate GCF of 58,20,38

2 58, 20, 38
29, 10, 19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56241520/2

Therefore the LCM of Fractions 815/58,304/20,227/38 is 28120760

Greatest Common Factor of 58,20,38 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,20,38 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 38

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

1,2,19,38

Greatest Common Factor

We found the factors 58,20,38 . The biggest common factor number is the GCF number.
So the greatest common factor 58,20,38 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 815/58, 304/20, 227/38

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 815/58, 304/20, 227/38?

Answer: LCM of Numerators as per given numbers 815/58, 304/20, 227/38 is

LCM of Numerators i.e. for 815,304,227 is 56241520

GCF of denominators i.e. for 58,20,38 is 2.

Thus, LCM of Fractions is 28120760.Finally, LCM of Fractions for 815/58, 304/20, 227/38 is 28120760.