Least Common Multiple of 381/334, 137/523, 493/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/334, 137/523, 493/344 quickly i.e. 25733121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/334, 137/523, 493/344 is 25733121.

LCM(381/334, 137/523, 493/344) = 25733121

LCM of 381/334, 137/523, 493/344

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 381/334,137/523,493/344

Given numbers are 381/334,137/523,493/344

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 381,137,493

Least Common Multiple of Numerators i.e. LCM of 381,137,493 is 25733121.

GCF of Denominators means GCF of 334,523,344 as per the given fractions.

GCF of 334,523,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,137,493

LCM of Fractions 381/334,137/523,493/344 is 25733121

Given numbers has no common factors except 1. So, there LCM is their product i.e 25733121

Least Common Multiple of 381,137,493 with GCF Formula

Least Common Multiple of 381,137,493 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 381,137,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,137,493) = 1

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

GCF(381,137,493) x common factors =1 x 1 = 1

LCM(381,137,493) = ( 381 × 137 × 493 ) / 1

LCM(381,137,493) = 25733121 / 1

LCM(381,137,493) = 25733121


Lets's calculate GCF of 334,523,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25733121/1

Therefore the LCM of Fractions 381/334,137/523,493/344 is 25733121

Greatest Common Factor of 334,523,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,523,344 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 334,523,344 . The biggest common factor number is the GCF number.
So the greatest common factor 334,523,344 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 381/334, 137/523, 493/344

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 381/334, 137/523, 493/344?

Answer: LCM of Numerators as per given numbers 381/334, 137/523, 493/344 is

LCM of Numerators i.e. for 381,137,493 is 25733121

GCF of denominators i.e. for 334,523,344 is 1.

Thus, LCM of Fractions is 25733121.Finally, LCM of Fractions for 381/334, 137/523, 493/344 is 25733121.