Least Common Multiple of 361/344, 581/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 361/344, 581/375 quickly i.e. 209741 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 361/344, 581/375 is 209741.

LCM(361/344, 581/375) = 209741

LCM of 361/344, 581/375

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 361/344,581/375

Given numbers are 361/344,581/375

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 361,581

Least Common Multiple of Numerators i.e. LCM of 361,581 is 209741.

GCF of Denominators means GCF of 344,375 as per the given fractions.

GCF of 344,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 361,581

LCM of Fractions 361/344,581/375 is 209741

Given numbers has no common factors except 1. So, there LCM is their product i.e 209741

Least Common Multiple of 361,581 with GCF Formula

Least Common Multiple of 361,581 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 361,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,581) = 1

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

GCF(361,581) x common factors =1 x 1 = 1

LCM(361,581) = ( 361 × 581 ) / 1

LCM(361,581) = 209741 / 1

LCM(361,581) = 209741


Lets's calculate GCF of 344,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209741/1

Therefore the LCM of Fractions 361/344,581/375 is 209741

Greatest Common Factor of 344,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,375 By Matching Biggest Common Factor Method

Factors of 344

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

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

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 344,375 . The biggest common factor number is the GCF number.
So the greatest common factor 344,375 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 361/344, 581/375

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 361/344, 581/375?

Answer: LCM of Numerators as per given numbers 361/344, 581/375 is

LCM of Numerators i.e. for 361,581 is 209741

GCF of denominators i.e. for 344,375 is 1.

Thus, LCM of Fractions is 209741.Finally, LCM of Fractions for 361/344, 581/375 is 209741.