Least Common Multiple of 13/160, 79/385, 352/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/160, 79/385, 352/395 quickly i.e. 361504/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/160, 79/385, 352/395 is 361504/5.

LCM(13/160, 79/385, 352/395) = 361504/5

LCM of 13/160, 79/385, 352/395

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 13/160,79/385,352/395

Given numbers are 13/160,79/385,352/395

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 13,79,352

Least Common Multiple of Numerators i.e. LCM of 13,79,352 is 361504.

GCF of Denominators means GCF of 160,385,395 as per the given fractions.

GCF of 160,385,395 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,79,352

LCM of Fractions 13/160,79/385,352/395 is 361504/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 361504

Least Common Multiple of 13,79,352 with GCF Formula

Least Common Multiple of 13,79,352 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 13,79,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,79,352) = 1

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

GCF(13,79,352) x common factors =1 x 1 = 1

LCM(13,79,352) = ( 13 × 79 × 352 ) / 1

LCM(13,79,352) = 361504 / 1

LCM(13,79,352) = 361504


Lets's calculate GCF of 160,385,395

5 160, 385, 395
32, 77, 79

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361504/5

Therefore the LCM of Fractions 13/160,79/385,352/395 is 361504/5

Greatest Common Factor of 160,385,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,385,395 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 160,385,395 . The biggest common factor number is the GCF number.
So the greatest common factor 160,385,395 is 5.


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 13/160, 79/385, 352/395

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 13/160, 79/385, 352/395?

Answer: LCM of Numerators as per given numbers 13/160, 79/385, 352/395 is

LCM of Numerators i.e. for 13,79,352 is 361504

GCF of denominators i.e. for 160,385,395 is 5.

Thus, LCM of Fractions is 361504/5.Finally, LCM of Fractions for 13/160, 79/385, 352/395 is 361504/5.