Least Common Multiple of 57/17, 17/853, 384/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/17, 17/853, 384/200 quickly i.e. 124032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/17, 17/853, 384/200 is 124032.

LCM(57/17, 17/853, 384/200) = 124032

LCM of 57/17, 17/853, 384/200

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 57/17,17/853,384/200

Given numbers are 57/17,17/853,384/200

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 57,17,384

Least Common Multiple of Numerators i.e. LCM of 57,17,384 is 124032.

GCF of Denominators means GCF of 17,853,200 as per the given fractions.

GCF of 17,853,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,17,384

LCM of Fractions 57/17,17/853,384/200 is 124032

3 57, 17, 384
19, 17, 128

∴ So the LCM of the given numbers is 3 x 19 x 17 x 128 = 124032

Least Common Multiple of 57,17,384 with GCF Formula

Least Common Multiple of 57,17,384 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 57,17,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,17,384) = 1

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

GCF(57,17,384) x common factors =1 x 3 = 3

LCM(57,17,384) = ( 57 × 17 × 384 ) / 3

LCM(57,17,384) = 372096 / 3

LCM(57,17,384) = 124032


Lets's calculate GCF of 17,853,200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124032/1

Therefore the LCM of Fractions 57/17,17/853,384/200 is 124032

Greatest Common Factor of 17,853,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,853,200 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

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

Greatest Common Factor

We found the factors 17,853,200 . The biggest common factor number is the GCF number.
So the greatest common factor 17,853,200 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 57/17, 17/853, 384/200

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 57/17, 17/853, 384/200?

Answer: LCM of Numerators as per given numbers 57/17, 17/853, 384/200 is

LCM of Numerators i.e. for 57,17,384 is 124032

GCF of denominators i.e. for 17,853,200 is 1.

Thus, LCM of Fractions is 124032.Finally, LCM of Fractions for 57/17, 17/853, 384/200 is 124032.