Least Common Multiple of 993/13, 824/19, 766/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 993/13, 824/19, 766/440 quickly i.e. 313382856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 993/13, 824/19, 766/440 is 313382856.

LCM(993/13, 824/19, 766/440) = 313382856

LCM of 993/13, 824/19, 766/440

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 993/13,824/19,766/440

Given numbers are 993/13,824/19,766/440

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 993,824,766

Least Common Multiple of Numerators i.e. LCM of 993,824,766 is 313382856.

GCF of Denominators means GCF of 13,19,440 as per the given fractions.

GCF of 13,19,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 993,824,766

LCM of Fractions 993/13,824/19,766/440 is 313382856

2 993, 824, 766
993, 412, 383

∴ So the LCM of the given numbers is 2 x 993 x 412 x 383 = 313382856

Least Common Multiple of 993,824,766 with GCF Formula

Least Common Multiple of 993,824,766 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 993,824,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,824,766) = 1

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

GCF(993,824,766) x common factors =1 x 2 = 2

LCM(993,824,766) = ( 993 × 824 × 766 ) / 2

LCM(993,824,766) = 626765712 / 2

LCM(993,824,766) = 313382856


Lets's calculate GCF of 13,19,440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313382856/1

Therefore the LCM of Fractions 993/13,824/19,766/440 is 313382856

Greatest Common Factor of 13,19,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,19,440 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 13,19,440 . The biggest common factor number is the GCF number.
So the greatest common factor 13,19,440 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 993/13, 824/19, 766/440

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 993/13, 824/19, 766/440?

Answer: LCM of Numerators as per given numbers 993/13, 824/19, 766/440 is

LCM of Numerators i.e. for 993,824,766 is 313382856

GCF of denominators i.e. for 13,19,440 is 1.

Thus, LCM of Fractions is 313382856.Finally, LCM of Fractions for 993/13, 824/19, 766/440 is 313382856.