Least Common Multiple of 788/72, 815/12, 840/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 788/72, 815/12, 840/384 quickly i.e. 2247770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 788/72, 815/12, 840/384 is 2247770.

LCM(788/72, 815/12, 840/384) = 2247770

LCM of 788/72, 815/12, 840/384

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 788/72,815/12,840/384

Given numbers are 788/72,815/12,840/384

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 788,815,840

Least Common Multiple of Numerators i.e. LCM of 788,815,840 is 26973240.

GCF of Denominators means GCF of 72,12,384 as per the given fractions.

GCF of 72,12,384 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 788,815,840

LCM of Fractions 788/72,815/12,840/384 is 2247770

2 788, 815, 840
2 394, 815, 420
5 197, 815, 210
197, 163, 42

∴ So the LCM of the given numbers is 2 x 2 x 5 x 197 x 163 x 42 = 26973240

Least Common Multiple of 788,815,840 with GCF Formula

Least Common Multiple of 788,815,840 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 788,815,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,815,840) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(788,815,840) x common factors =1 x 20 = 20

LCM(788,815,840) = ( 788 × 815 × 840 ) / 20

LCM(788,815,840) = 539464800 / 20

LCM(788,815,840) = 26973240


Lets's calculate GCF of 72,12,384

2 72, 12, 384
2 36, 6, 192
3 18, 3, 96
6, 1, 32

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26973240/12

Therefore the LCM of Fractions 788/72,815/12,840/384 is 2247770

Greatest Common Factor of 72,12,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,12,384 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 72,12,384 . The biggest common factor number is the GCF number.
So the greatest common factor 72,12,384 is 12.


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 788/72, 815/12, 840/384

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 788/72, 815/12, 840/384?

Answer: LCM of Numerators as per given numbers 788/72, 815/12, 840/384 is

LCM of Numerators i.e. for 788,815,840 is 26973240

GCF of denominators i.e. for 72,12,384 is 12.

Thus, LCM of Fractions is 2247770.Finally, LCM of Fractions for 788/72, 815/12, 840/384 is 2247770.