Least Common Multiple of 344/259, 355/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/259, 355/369 quickly i.e. 122120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/259, 355/369 is 122120.

LCM(344/259, 355/369) = 122120

LCM of 344/259, 355/369

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 344/259,355/369

Given numbers are 344/259,355/369

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 344,355

Least Common Multiple of Numerators i.e. LCM of 344,355 is 122120.

GCF of Denominators means GCF of 259,369 as per the given fractions.

GCF of 259,369 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,355

LCM of Fractions 344/259,355/369 is 122120

Given numbers has no common factors except 1. So, there LCM is their product i.e 122120

Least Common Multiple of 344,355 with GCF Formula

Least Common Multiple of 344,355 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 344,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,355) = 1

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

GCF(344,355) x common factors =1 x 1 = 1

LCM(344,355) = ( 344 × 355 ) / 1

LCM(344,355) = 122120 / 1

LCM(344,355) = 122120


Lets's calculate GCF of 259,369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122120/1

Therefore the LCM of Fractions 344/259,355/369 is 122120

Greatest Common Factor of 259,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,369 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 259,369 . The biggest common factor number is the GCF number.
So the greatest common factor 259,369 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 344/259, 355/369

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 344/259, 355/369?

Answer: LCM of Numerators as per given numbers 344/259, 355/369 is

LCM of Numerators i.e. for 344,355 is 122120

GCF of denominators i.e. for 259,369 is 1.

Thus, LCM of Fractions is 122120.Finally, LCM of Fractions for 344/259, 355/369 is 122120.