Least Common Multiple of 576/904, 423/518, 235/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 576/904, 423/518, 235/530 quickly i.e. 67680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/904, 423/518, 235/530 is 67680.

LCM(576/904, 423/518, 235/530) = 67680

LCM of 576/904, 423/518, 235/530

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 576/904,423/518,235/530

Given numbers are 576/904,423/518,235/530

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 576,423,235

Least Common Multiple of Numerators i.e. LCM of 576,423,235 is 135360.

GCF of Denominators means GCF of 904,518,530 as per the given fractions.

GCF of 904,518,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,423,235

LCM of Fractions 576/904,423/518,235/530 is 67680

3 576, 423, 235
3 192, 141, 235
47 64, 47, 235
64, 1, 5

∴ So the LCM of the given numbers is 3 x 3 x 47 x 64 x 1 x 5 = 135360

Least Common Multiple of 576,423,235 with GCF Formula

Least Common Multiple of 576,423,235 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 576,423,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,423,235) = 1

common factors(in case of two or more numbers have common factors) = 423

GCF(576,423,235) x common factors =1 x 423 = 423

LCM(576,423,235) = ( 576 × 423 × 235 ) / 423

LCM(576,423,235) = 57257280 / 423

LCM(576,423,235) = 135360


Lets's calculate GCF of 904,518,530

2 904, 518, 530
452, 259, 265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135360/2

Therefore the LCM of Fractions 576/904,423/518,235/530 is 67680

Greatest Common Factor of 904,518,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,518,530 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 904,518,530 . The biggest common factor number is the GCF number.
So the greatest common factor 904,518,530 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 576/904, 423/518, 235/530

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 576/904, 423/518, 235/530?

Answer: LCM of Numerators as per given numbers 576/904, 423/518, 235/530 is

LCM of Numerators i.e. for 576,423,235 is 135360

GCF of denominators i.e. for 904,518,530 is 2.

Thus, LCM of Fractions is 67680.Finally, LCM of Fractions for 576/904, 423/518, 235/530 is 67680.