Least Common Multiple of 39/366, 33/486, 344/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/366, 33/486, 344/801 quickly i.e. 49192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/366, 33/486, 344/801 is 49192.

LCM(39/366, 33/486, 344/801) = 49192

LCM of 39/366, 33/486, 344/801

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 39/366,33/486,344/801

Given numbers are 39/366,33/486,344/801

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 39,33,344

Least Common Multiple of Numerators i.e. LCM of 39,33,344 is 147576.

GCF of Denominators means GCF of 366,486,801 as per the given fractions.

GCF of 366,486,801 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,33,344

LCM of Fractions 39/366,33/486,344/801 is 49192

3 39, 33, 344
13, 11, 344

∴ So the LCM of the given numbers is 3 x 13 x 11 x 344 = 147576

Least Common Multiple of 39,33,344 with GCF Formula

Least Common Multiple of 39,33,344 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 39,33,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,33,344) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,33,344) x common factors =1 x 3 = 3

LCM(39,33,344) = ( 39 × 33 × 344 ) / 3

LCM(39,33,344) = 442728 / 3

LCM(39,33,344) = 147576


Lets's calculate GCF of 366,486,801

3 366, 486, 801
122, 162, 267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147576/3

Therefore the LCM of Fractions 39/366,33/486,344/801 is 49192

Greatest Common Factor of 366,486,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,486,801 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 366,486,801 . The biggest common factor number is the GCF number.
So the greatest common factor 366,486,801 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 39/366, 33/486, 344/801

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 39/366, 33/486, 344/801?

Answer: LCM of Numerators as per given numbers 39/366, 33/486, 344/801 is

LCM of Numerators i.e. for 39,33,344 is 147576

GCF of denominators i.e. for 366,486,801 is 3.

Thus, LCM of Fractions is 49192.Finally, LCM of Fractions for 39/366, 33/486, 344/801 is 49192.