Least Common Multiple of 588/68, 524/14, 338/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 588/68, 524/14, 338/393 quickly i.e. 13017732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/68, 524/14, 338/393 is 13017732.

LCM(588/68, 524/14, 338/393) = 13017732

LCM of 588/68, 524/14, 338/393

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 588/68,524/14,338/393

Given numbers are 588/68,524/14,338/393

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 588,524,338

Least Common Multiple of Numerators i.e. LCM of 588,524,338 is 13017732.

GCF of Denominators means GCF of 68,14,393 as per the given fractions.

GCF of 68,14,393 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,524,338

LCM of Fractions 588/68,524/14,338/393 is 13017732

2 588, 524, 338
2 294, 262, 169
147, 131, 169

∴ So the LCM of the given numbers is 2 x 2 x 147 x 131 x 169 = 13017732

Least Common Multiple of 588,524,338 with GCF Formula

Least Common Multiple of 588,524,338 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 588,524,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,524,338) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(588,524,338) x common factors =2 x 4 = 8

LCM(588,524,338) = ( 588 × 524 × 338 ) / 8

LCM(588,524,338) = 104141856 / 8

LCM(588,524,338) = 13017732


Lets's calculate GCF of 68,14,393

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13017732/1

Therefore the LCM of Fractions 588/68,524/14,338/393 is 13017732

Greatest Common Factor of 68,14,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,14,393 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 68,14,393 . The biggest common factor number is the GCF number.
So the greatest common factor 68,14,393 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 588/68, 524/14, 338/393

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 588/68, 524/14, 338/393?

Answer: LCM of Numerators as per given numbers 588/68, 524/14, 338/393 is

LCM of Numerators i.e. for 588,524,338 is 13017732

GCF of denominators i.e. for 68,14,393 is 1.

Thus, LCM of Fractions is 13017732.Finally, LCM of Fractions for 588/68, 524/14, 338/393 is 13017732.