Least Common Multiple of 408/812, 655/238, 180/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/812, 655/238, 180/819 quickly i.e. 801720/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/812, 655/238, 180/819 is 801720/7.

LCM(408/812, 655/238, 180/819) = 801720/7

LCM of 408/812, 655/238, 180/819

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 408/812,655/238,180/819

Given numbers are 408/812,655/238,180/819

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 408,655,180

Least Common Multiple of Numerators i.e. LCM of 408,655,180 is 801720.

GCF of Denominators means GCF of 812,238,819 as per the given fractions.

GCF of 812,238,819 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,655,180

LCM of Fractions 408/812,655/238,180/819 is 801720/7

2 408, 655, 180
2 204, 655, 90
3 102, 655, 45
5 34, 655, 15
34, 131, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 34 x 131 x 3 = 801720

Least Common Multiple of 408,655,180 with GCF Formula

Least Common Multiple of 408,655,180 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 408,655,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,655,180) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(408,655,180) x common factors =1 x 60 = 60

LCM(408,655,180) = ( 408 × 655 × 180 ) / 60

LCM(408,655,180) = 48103200 / 60

LCM(408,655,180) = 801720


Lets's calculate GCF of 812,238,819

7 812, 238, 819
116, 34, 117

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 801720/7

Therefore the LCM of Fractions 408/812,655/238,180/819 is 801720/7

Greatest Common Factor of 812,238,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,238,819 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 812,238,819 . The biggest common factor number is the GCF number.
So the greatest common factor 812,238,819 is 7.


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 408/812, 655/238, 180/819

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 408/812, 655/238, 180/819?

Answer: LCM of Numerators as per given numbers 408/812, 655/238, 180/819 is

LCM of Numerators i.e. for 408,655,180 is 801720

GCF of denominators i.e. for 812,238,819 is 7.

Thus, LCM of Fractions is 801720/7.Finally, LCM of Fractions for 408/812, 655/238, 180/819 is 801720/7.