Least Common Multiple of 384/898, 3794/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/898, 3794/792 quickly i.e. 364224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/898, 3794/792 is 364224.

LCM(384/898, 3794/792) = 364224

LCM of 384/898, 3794/792

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 384/898,3794/792

Given numbers are 384/898,3794/792

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 384,3794

Least Common Multiple of Numerators i.e. LCM of 384,3794 is 728448.

GCF of Denominators means GCF of 898,792 as per the given fractions.

GCF of 898,792 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,3794

LCM of Fractions 384/898,3794/792 is 364224

2 384, 3794
192, 1897

∴ So the LCM of the given numbers is 2 x 192 x 1897 = 728448

Least Common Multiple of 384,3794 with GCF Formula

Least Common Multiple of 384,3794 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 384,3794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,3794) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(384,3794) x common factors =2 x 1 = 2

LCM(384,3794) = ( 384 × 3794 ) / 2

LCM(384,3794) = 1456896 / 2

LCM(384,3794) = 728448


Lets's calculate GCF of 898,792

2 898, 792
449, 396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 728448/2

Therefore the LCM of Fractions 384/898,3794/792 is 364224

Greatest Common Factor of 898,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,792 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 898,792 . The biggest common factor number is the GCF number.
So the greatest common factor 898,792 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 384/898, 3794/792

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 384/898, 3794/792?

Answer: LCM of Numerators as per given numbers 384/898, 3794/792 is

LCM of Numerators i.e. for 384,3794 is 728448

GCF of denominators i.e. for 898,792 is 2.

Thus, LCM of Fractions is 364224.Finally, LCM of Fractions for 384/898, 3794/792 is 364224.