Least Common Multiple of 38/604, 13/144, 227/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/604, 13/144, 227/615 quickly i.e. 112138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/604, 13/144, 227/615 is 112138.

LCM(38/604, 13/144, 227/615) = 112138

LCM of 38/604, 13/144, 227/615

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 38/604,13/144,227/615

Given numbers are 38/604,13/144,227/615

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 38,13,227

Least Common Multiple of Numerators i.e. LCM of 38,13,227 is 112138.

GCF of Denominators means GCF of 604,144,615 as per the given fractions.

GCF of 604,144,615 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,13,227

LCM of Fractions 38/604,13/144,227/615 is 112138

Given numbers has no common factors except 1. So, there LCM is their product i.e 112138

Least Common Multiple of 38,13,227 with GCF Formula

Least Common Multiple of 38,13,227 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 38,13,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,13,227) = 1

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

GCF(38,13,227) x common factors =1 x 1 = 1

LCM(38,13,227) = ( 38 × 13 × 227 ) / 1

LCM(38,13,227) = 112138 / 1

LCM(38,13,227) = 112138


Lets's calculate GCF of 604,144,615

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112138/1

Therefore the LCM of Fractions 38/604,13/144,227/615 is 112138

Greatest Common Factor of 604,144,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,144,615 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 604,144,615 . The biggest common factor number is the GCF number.
So the greatest common factor 604,144,615 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 38/604, 13/144, 227/615

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 38/604, 13/144, 227/615?

Answer: LCM of Numerators as per given numbers 38/604, 13/144, 227/615 is

LCM of Numerators i.e. for 38,13,227 is 112138

GCF of denominators i.e. for 604,144,615 is 1.

Thus, LCM of Fractions is 112138.Finally, LCM of Fractions for 38/604, 13/144, 227/615 is 112138.