Least Common Multiple of 36/646, 638/720, 205/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/646, 638/720, 205/382 quickly i.e. 1177110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/646, 638/720, 205/382 is 1177110.

LCM(36/646, 638/720, 205/382) = 1177110

LCM of 36/646, 638/720, 205/382

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 36/646,638/720,205/382

Given numbers are 36/646,638/720,205/382

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 36,638,205

Least Common Multiple of Numerators i.e. LCM of 36,638,205 is 2354220.

GCF of Denominators means GCF of 646,720,382 as per the given fractions.

GCF of 646,720,382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,638,205

LCM of Fractions 36/646,638/720,205/382 is 1177110

2 36, 638, 205
18, 319, 205

∴ So the LCM of the given numbers is 2 x 18 x 319 x 205 = 2354220

Least Common Multiple of 36,638,205 with GCF Formula

Least Common Multiple of 36,638,205 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 36,638,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,638,205) = 1

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

GCF(36,638,205) x common factors =1 x 2 = 2

LCM(36,638,205) = ( 36 × 638 × 205 ) / 2

LCM(36,638,205) = 4708440 / 2

LCM(36,638,205) = 2354220


Lets's calculate GCF of 646,720,382

2 646, 720, 382
323, 360, 191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2354220/2

Therefore the LCM of Fractions 36/646,638/720,205/382 is 1177110

Greatest Common Factor of 646,720,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,720,382 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 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

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 646,720,382 . The biggest common factor number is the GCF number.
So the greatest common factor 646,720,382 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 36/646, 638/720, 205/382

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 36/646, 638/720, 205/382?

Answer: LCM of Numerators as per given numbers 36/646, 638/720, 205/382 is

LCM of Numerators i.e. for 36,638,205 is 2354220

GCF of denominators i.e. for 646,720,382 is 2.

Thus, LCM of Fractions is 1177110.Finally, LCM of Fractions for 36/646, 638/720, 205/382 is 1177110.