Least Common Multiple of 374/205, 384/793, 796/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/205, 384/793, 796/526 quickly i.e. 14289792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/205, 384/793, 796/526 is 14289792.

LCM(374/205, 384/793, 796/526) = 14289792

LCM of 374/205, 384/793, 796/526

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 374/205,384/793,796/526

Given numbers are 374/205,384/793,796/526

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 374,384,796

Least Common Multiple of Numerators i.e. LCM of 374,384,796 is 14289792.

GCF of Denominators means GCF of 205,793,526 as per the given fractions.

GCF of 205,793,526 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,384,796

LCM of Fractions 374/205,384/793,796/526 is 14289792

2 374, 384, 796
2 187, 192, 398
187, 96, 199

∴ So the LCM of the given numbers is 2 x 2 x 187 x 96 x 199 = 14289792

Least Common Multiple of 374,384,796 with GCF Formula

Least Common Multiple of 374,384,796 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 374,384,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,384,796) = 2

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

GCF(374,384,796) x common factors =2 x 4 = 8

LCM(374,384,796) = ( 374 × 384 × 796 ) / 8

LCM(374,384,796) = 114318336 / 8

LCM(374,384,796) = 14289792


Lets's calculate GCF of 205,793,526

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14289792/1

Therefore the LCM of Fractions 374/205,384/793,796/526 is 14289792

Greatest Common Factor of 205,793,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,793,526 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 205,793,526 . The biggest common factor number is the GCF number.
So the greatest common factor 205,793,526 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 374/205, 384/793, 796/526

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 374/205, 384/793, 796/526?

Answer: LCM of Numerators as per given numbers 374/205, 384/793, 796/526 is

LCM of Numerators i.e. for 374,384,796 is 14289792

GCF of denominators i.e. for 205,793,526 is 1.

Thus, LCM of Fractions is 14289792.Finally, LCM of Fractions for 374/205, 384/793, 796/526 is 14289792.