Least Common Multiple of 349/344, 541/741, 705/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 349/344, 541/741, 705/589 quickly i.e. 133110345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/344, 541/741, 705/589 is 133110345.

LCM(349/344, 541/741, 705/589) = 133110345

LCM of 349/344, 541/741, 705/589

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 349/344,541/741,705/589

Given numbers are 349/344,541/741,705/589

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 349,541,705

Least Common Multiple of Numerators i.e. LCM of 349,541,705 is 133110345.

GCF of Denominators means GCF of 344,741,589 as per the given fractions.

GCF of 344,741,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,541,705

LCM of Fractions 349/344,541/741,705/589 is 133110345

Given numbers has no common factors except 1. So, there LCM is their product i.e 133110345

Least Common Multiple of 349,541,705 with GCF Formula

Least Common Multiple of 349,541,705 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 349,541,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,541,705) = 1

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

GCF(349,541,705) x common factors =1 x 1 = 1

LCM(349,541,705) = ( 349 × 541 × 705 ) / 1

LCM(349,541,705) = 133110345 / 1

LCM(349,541,705) = 133110345


Lets's calculate GCF of 344,741,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133110345/1

Therefore the LCM of Fractions 349/344,541/741,705/589 is 133110345

Greatest Common Factor of 344,741,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,741,589 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 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 344,741,589 . The biggest common factor number is the GCF number.
So the greatest common factor 344,741,589 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 349/344, 541/741, 705/589

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 349/344, 541/741, 705/589?

Answer: LCM of Numerators as per given numbers 349/344, 541/741, 705/589 is

LCM of Numerators i.e. for 349,541,705 is 133110345

GCF of denominators i.e. for 344,741,589 is 1.

Thus, LCM of Fractions is 133110345.Finally, LCM of Fractions for 349/344, 541/741, 705/589 is 133110345.