Least Common Multiple of 381/80, 345/40, 343/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/80, 345/40, 343/395 quickly i.e. 3005709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/80, 345/40, 343/395 is 3005709.

LCM(381/80, 345/40, 343/395) = 3005709

LCM of 381/80, 345/40, 343/395

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 381/80,345/40,343/395

Given numbers are 381/80,345/40,343/395

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 381,345,343

Least Common Multiple of Numerators i.e. LCM of 381,345,343 is 15028545.

GCF of Denominators means GCF of 80,40,395 as per the given fractions.

GCF of 80,40,395 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,345,343

LCM of Fractions 381/80,345/40,343/395 is 3005709

3 381, 345, 343
127, 115, 343

∴ So the LCM of the given numbers is 3 x 127 x 115 x 343 = 15028545

Least Common Multiple of 381,345,343 with GCF Formula

Least Common Multiple of 381,345,343 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 381,345,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,345,343) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(381,345,343) x common factors =1 x 3 = 3

LCM(381,345,343) = ( 381 × 345 × 343 ) / 3

LCM(381,345,343) = 45085635 / 3

LCM(381,345,343) = 15028545


Lets's calculate GCF of 80,40,395

5 80, 40, 395
16, 8, 79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15028545/5

Therefore the LCM of Fractions 381/80,345/40,343/395 is 3005709

Greatest Common Factor of 80,40,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,40,395 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

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

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

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 80,40,395 . The biggest common factor number is the GCF number.
So the greatest common factor 80,40,395 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 381/80, 345/40, 343/395

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 381/80, 345/40, 343/395?

Answer: LCM of Numerators as per given numbers 381/80, 345/40, 343/395 is

LCM of Numerators i.e. for 381,345,343 is 15028545

GCF of denominators i.e. for 80,40,395 is 5.

Thus, LCM of Fractions is 3005709.Finally, LCM of Fractions for 381/80, 345/40, 343/395 is 3005709.