Least Common Multiple of 56/288, 81/792, 346/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/288, 81/792, 346/794 quickly i.e. 392364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/288, 81/792, 346/794 is 392364.

LCM(56/288, 81/792, 346/794) = 392364

LCM of 56/288, 81/792, 346/794

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 56/288,81/792,346/794

Given numbers are 56/288,81/792,346/794

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 56,81,346

Least Common Multiple of Numerators i.e. LCM of 56,81,346 is 784728.

GCF of Denominators means GCF of 288,792,794 as per the given fractions.

GCF of 288,792,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,81,346

LCM of Fractions 56/288,81/792,346/794 is 392364

2 56, 81, 346
28, 81, 173

∴ So the LCM of the given numbers is 2 x 28 x 81 x 173 = 784728

Least Common Multiple of 56,81,346 with GCF Formula

Least Common Multiple of 56,81,346 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 56,81,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,81,346) = 1

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

GCF(56,81,346) x common factors =1 x 2 = 2

LCM(56,81,346) = ( 56 × 81 × 346 ) / 2

LCM(56,81,346) = 1569456 / 2

LCM(56,81,346) = 784728


Lets's calculate GCF of 288,792,794

2 288, 792, 794
144, 396, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 784728/2

Therefore the LCM of Fractions 56/288,81/792,346/794 is 392364

Greatest Common Factor of 288,792,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,792,794 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

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

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 288,792,794 . The biggest common factor number is the GCF number.
So the greatest common factor 288,792,794 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 56/288, 81/792, 346/794

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 56/288, 81/792, 346/794?

Answer: LCM of Numerators as per given numbers 56/288, 81/792, 346/794 is

LCM of Numerators i.e. for 56,81,346 is 784728

GCF of denominators i.e. for 288,792,794 is 2.

Thus, LCM of Fractions is 392364.Finally, LCM of Fractions for 56/288, 81/792, 346/794 is 392364.