Least Common Multiple of 93/400, 69/339, 355/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/400, 69/339, 355/143 quickly i.e. 759345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/400, 69/339, 355/143 is 759345.

LCM(93/400, 69/339, 355/143) = 759345

LCM of 93/400, 69/339, 355/143

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 93/400,69/339,355/143

Given numbers are 93/400,69/339,355/143

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 93,69,355

Least Common Multiple of Numerators i.e. LCM of 93,69,355 is 759345.

GCF of Denominators means GCF of 400,339,143 as per the given fractions.

GCF of 400,339,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,69,355

LCM of Fractions 93/400,69/339,355/143 is 759345

3 93, 69, 355
31, 23, 355

∴ So the LCM of the given numbers is 3 x 31 x 23 x 355 = 759345

Least Common Multiple of 93,69,355 with GCF Formula

Least Common Multiple of 93,69,355 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 93,69,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,69,355) = 1

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

GCF(93,69,355) x common factors =1 x 3 = 3

LCM(93,69,355) = ( 93 × 69 × 355 ) / 3

LCM(93,69,355) = 2278035 / 3

LCM(93,69,355) = 759345


Lets's calculate GCF of 400,339,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 759345/1

Therefore the LCM of Fractions 93/400,69/339,355/143 is 759345

Greatest Common Factor of 400,339,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,339,143 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 400,339,143 . The biggest common factor number is the GCF number.
So the greatest common factor 400,339,143 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 93/400, 69/339, 355/143

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 93/400, 69/339, 355/143?

Answer: LCM of Numerators as per given numbers 93/400, 69/339, 355/143 is

LCM of Numerators i.e. for 93,69,355 is 759345

GCF of denominators i.e. for 400,339,143 is 1.

Thus, LCM of Fractions is 759345.Finally, LCM of Fractions for 93/400, 69/339, 355/143 is 759345.