Least Common Multiple of 38/144, 13/704, 560/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/144, 13/704, 560/118 quickly i.e. 69160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/144, 13/704, 560/118 is 69160.

LCM(38/144, 13/704, 560/118) = 69160

LCM of 38/144, 13/704, 560/118

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 38/144,13/704,560/118

Given numbers are 38/144,13/704,560/118

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 38,13,560

Least Common Multiple of Numerators i.e. LCM of 38,13,560 is 138320.

GCF of Denominators means GCF of 144,704,118 as per the given fractions.

GCF of 144,704,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,13,560

LCM of Fractions 38/144,13/704,560/118 is 69160

2 38, 13, 560
19, 13, 280

∴ So the LCM of the given numbers is 2 x 19 x 13 x 280 = 138320

Least Common Multiple of 38,13,560 with GCF Formula

Least Common Multiple of 38,13,560 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 38,13,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,13,560) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,13,560) x common factors =1 x 2 = 2

LCM(38,13,560) = ( 38 × 13 × 560 ) / 2

LCM(38,13,560) = 276640 / 2

LCM(38,13,560) = 138320


Lets's calculate GCF of 144,704,118

2 144, 704, 118
72, 352, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138320/2

Therefore the LCM of Fractions 38/144,13/704,560/118 is 69160

Greatest Common Factor of 144,704,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,704,118 By Matching Biggest Common Factor Method

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 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 144,704,118 . The biggest common factor number is the GCF number.
So the greatest common factor 144,704,118 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 38/144, 13/704, 560/118

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 38/144, 13/704, 560/118?

Answer: LCM of Numerators as per given numbers 38/144, 13/704, 560/118 is

LCM of Numerators i.e. for 38,13,560 is 138320

GCF of denominators i.e. for 144,704,118 is 2.

Thus, LCM of Fractions is 69160.Finally, LCM of Fractions for 38/144, 13/704, 560/118 is 69160.