Least Common Multiple of 11/646, 36/792, 683/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/646, 36/792, 683/382 quickly i.e. 135234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/646, 36/792, 683/382 is 135234.

LCM(11/646, 36/792, 683/382) = 135234

LCM of 11/646, 36/792, 683/382

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 11/646,36/792,683/382

Given numbers are 11/646,36/792,683/382

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 11,36,683

Least Common Multiple of Numerators i.e. LCM of 11,36,683 is 270468.

GCF of Denominators means GCF of 646,792,382 as per the given fractions.

GCF of 646,792,382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,36,683

LCM of Fractions 11/646,36/792,683/382 is 135234

Given numbers has no common factors except 1. So, there LCM is their product i.e 270468

Least Common Multiple of 11,36,683 with GCF Formula

Least Common Multiple of 11,36,683 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 11,36,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,36,683) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(11,36,683) x common factors =1 x 1 = 1

LCM(11,36,683) = ( 11 × 36 × 683 ) / 1

LCM(11,36,683) = 270468 / 1

LCM(11,36,683) = 270468


Lets's calculate GCF of 646,792,382

2 646, 792, 382
323, 396, 191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270468/2

Therefore the LCM of Fractions 11/646,36/792,683/382 is 135234

Greatest Common Factor of 646,792,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,792,382 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

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 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 646,792,382 . The biggest common factor number is the GCF number.
So the greatest common factor 646,792,382 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 11/646, 36/792, 683/382

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 11/646, 36/792, 683/382?

Answer: LCM of Numerators as per given numbers 11/646, 36/792, 683/382 is

LCM of Numerators i.e. for 11,36,683 is 270468

GCF of denominators i.e. for 646,792,382 is 2.

Thus, LCM of Fractions is 135234.Finally, LCM of Fractions for 11/646, 36/792, 683/382 is 135234.