Least Common Multiple of 792/732, 396/831, 434/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 792/732, 396/831, 434/321 quickly i.e. 57288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 792/732, 396/831, 434/321 is 57288.

LCM(792/732, 396/831, 434/321) = 57288

LCM of 792/732, 396/831, 434/321

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 792/732,396/831,434/321

Given numbers are 792/732,396/831,434/321

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 792,396,434

Least Common Multiple of Numerators i.e. LCM of 792,396,434 is 171864.

GCF of Denominators means GCF of 732,831,321 as per the given fractions.

GCF of 732,831,321 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 792,396,434

LCM of Fractions 792/732,396/831,434/321 is 57288

2 792, 396, 434
2 396, 198, 217
3 99, 198, 217
3 33, 66, 217
11 11, 22, 217
1, 2, 217

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 1 x 2 x 217 = 171864

Least Common Multiple of 792,396,434 with GCF Formula

Least Common Multiple of 792,396,434 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 792,396,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,396,434) = 2

common factors(in case of two or more numbers have common factors) = 396

GCF(792,396,434) x common factors =2 x 396 = 792

LCM(792,396,434) = ( 792 × 396 × 434 ) / 792

LCM(792,396,434) = 136116288 / 792

LCM(792,396,434) = 171864


Lets's calculate GCF of 732,831,321

3 732, 831, 321
244, 277, 107

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171864/3

Therefore the LCM of Fractions 792/732,396/831,434/321 is 57288

Greatest Common Factor of 732,831,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,831,321 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 732,831,321 . The biggest common factor number is the GCF number.
So the greatest common factor 732,831,321 is 3.


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 792/732, 396/831, 434/321

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 792/732, 396/831, 434/321?

Answer: LCM of Numerators as per given numbers 792/732, 396/831, 434/321 is

LCM of Numerators i.e. for 792,396,434 is 171864

GCF of denominators i.e. for 732,831,321 is 3.

Thus, LCM of Fractions is 57288.Finally, LCM of Fractions for 792/732, 396/831, 434/321 is 57288.