Least Common Multiple of 904/811, 576/216, 408/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/811, 576/216, 408/839 quickly i.e. 1106496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/811, 576/216, 408/839 is 1106496.

LCM(904/811, 576/216, 408/839) = 1106496

LCM of 904/811, 576/216, 408/839

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 904/811,576/216,408/839

Given numbers are 904/811,576/216,408/839

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 904,576,408

Least Common Multiple of Numerators i.e. LCM of 904,576,408 is 1106496.

GCF of Denominators means GCF of 811,216,839 as per the given fractions.

GCF of 811,216,839 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,576,408

LCM of Fractions 904/811,576/216,408/839 is 1106496

2 904, 576, 408
2 452, 288, 204
2 226, 144, 102
3 113, 72, 51
113, 24, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 113 x 24 x 17 = 1106496

Least Common Multiple of 904,576,408 with GCF Formula

Least Common Multiple of 904,576,408 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 904,576,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,576,408) = 8

common factors(in case of two or more numbers have common factors) = 24

GCF(904,576,408) x common factors =8 x 24 = 192

LCM(904,576,408) = ( 904 × 576 × 408 ) / 192

LCM(904,576,408) = 212447232 / 192

LCM(904,576,408) = 1106496


Lets's calculate GCF of 811,216,839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1106496/1

Therefore the LCM of Fractions 904/811,576/216,408/839 is 1106496

Greatest Common Factor of 811,216,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,216,839 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 811,216,839 . The biggest common factor number is the GCF number.
So the greatest common factor 811,216,839 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 904/811, 576/216, 408/839

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 904/811, 576/216, 408/839?

Answer: LCM of Numerators as per given numbers 904/811, 576/216, 408/839 is

LCM of Numerators i.e. for 904,576,408 is 1106496

GCF of denominators i.e. for 811,216,839 is 1.

Thus, LCM of Fractions is 1106496.Finally, LCM of Fractions for 904/811, 576/216, 408/839 is 1106496.