Least Common Multiple of 57/384, 50/868, 274/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/384, 50/868, 274/398 quickly i.e. 195225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/384, 50/868, 274/398 is 195225.

LCM(57/384, 50/868, 274/398) = 195225

LCM of 57/384, 50/868, 274/398

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 57/384,50/868,274/398

Given numbers are 57/384,50/868,274/398

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 57,50,274

Least Common Multiple of Numerators i.e. LCM of 57,50,274 is 390450.

GCF of Denominators means GCF of 384,868,398 as per the given fractions.

GCF of 384,868,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,50,274

LCM of Fractions 57/384,50/868,274/398 is 195225

2 57, 50, 274
57, 25, 137

∴ So the LCM of the given numbers is 2 x 57 x 25 x 137 = 390450

Least Common Multiple of 57,50,274 with GCF Formula

Least Common Multiple of 57,50,274 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 57,50,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,50,274) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(57,50,274) x common factors =1 x 2 = 2

LCM(57,50,274) = ( 57 × 50 × 274 ) / 2

LCM(57,50,274) = 780900 / 2

LCM(57,50,274) = 390450


Lets's calculate GCF of 384,868,398

2 384, 868, 398
192, 434, 199

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390450/2

Therefore the LCM of Fractions 57/384,50/868,274/398 is 195225

Greatest Common Factor of 384,868,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,868,398 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 384,868,398 . The biggest common factor number is the GCF number.
So the greatest common factor 384,868,398 is 2.


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 57/384, 50/868, 274/398

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 57/384, 50/868, 274/398?

Answer: LCM of Numerators as per given numbers 57/384, 50/868, 274/398 is

LCM of Numerators i.e. for 57,50,274 is 390450

GCF of denominators i.e. for 384,868,398 is 2.

Thus, LCM of Fractions is 195225.Finally, LCM of Fractions for 57/384, 50/868, 274/398 is 195225.