Least Common Multiple of 203/274, 778/673, 384/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 203/274, 778/673, 384/396 quickly i.e. 30323328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 203/274, 778/673, 384/396 is 30323328.

LCM(203/274, 778/673, 384/396) = 30323328

LCM of 203/274, 778/673, 384/396

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 203/274,778/673,384/396

Given numbers are 203/274,778/673,384/396

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 203,778,384

Least Common Multiple of Numerators i.e. LCM of 203,778,384 is 30323328.

GCF of Denominators means GCF of 274,673,396 as per the given fractions.

GCF of 274,673,396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 203,778,384

LCM of Fractions 203/274,778/673,384/396 is 30323328

2 203, 778, 384
203, 389, 192

∴ So the LCM of the given numbers is 2 x 203 x 389 x 192 = 30323328

Least Common Multiple of 203,778,384 with GCF Formula

Least Common Multiple of 203,778,384 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 203,778,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,778,384) = 1

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

GCF(203,778,384) x common factors =1 x 2 = 2

LCM(203,778,384) = ( 203 × 778 × 384 ) / 2

LCM(203,778,384) = 60646656 / 2

LCM(203,778,384) = 30323328


Lets's calculate GCF of 274,673,396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30323328/1

Therefore the LCM of Fractions 203/274,778/673,384/396 is 30323328

Greatest Common Factor of 274,673,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,673,396 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 274,673,396 . The biggest common factor number is the GCF number.
So the greatest common factor 274,673,396 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 203/274, 778/673, 384/396

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 203/274, 778/673, 384/396?

Answer: LCM of Numerators as per given numbers 203/274, 778/673, 384/396 is

LCM of Numerators i.e. for 203,778,384 is 30323328

GCF of denominators i.e. for 274,673,396 is 1.

Thus, LCM of Fractions is 30323328.Finally, LCM of Fractions for 203/274, 778/673, 384/396 is 30323328.