Least Common Multiple of 299/518, 758/288, 432/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 299/518, 758/288, 432/418 quickly i.e. 24477336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/518, 758/288, 432/418 is 24477336.

LCM(299/518, 758/288, 432/418) = 24477336

LCM of 299/518, 758/288, 432/418

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 299/518,758/288,432/418

Given numbers are 299/518,758/288,432/418

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 299,758,432

Least Common Multiple of Numerators i.e. LCM of 299,758,432 is 48954672.

GCF of Denominators means GCF of 518,288,418 as per the given fractions.

GCF of 518,288,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,758,432

LCM of Fractions 299/518,758/288,432/418 is 24477336

2 299, 758, 432
299, 379, 216

∴ So the LCM of the given numbers is 2 x 299 x 379 x 216 = 48954672

Least Common Multiple of 299,758,432 with GCF Formula

Least Common Multiple of 299,758,432 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 299,758,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,758,432) = 1

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

GCF(299,758,432) x common factors =1 x 2 = 2

LCM(299,758,432) = ( 299 × 758 × 432 ) / 2

LCM(299,758,432) = 97909344 / 2

LCM(299,758,432) = 48954672


Lets's calculate GCF of 518,288,418

2 518, 288, 418
259, 144, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48954672/2

Therefore the LCM of Fractions 299/518,758/288,432/418 is 24477336

Greatest Common Factor of 518,288,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,288,418 By Matching Biggest Common Factor Method

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 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 518,288,418 . The biggest common factor number is the GCF number.
So the greatest common factor 518,288,418 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 299/518, 758/288, 432/418

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 299/518, 758/288, 432/418?

Answer: LCM of Numerators as per given numbers 299/518, 758/288, 432/418 is

LCM of Numerators i.e. for 299,758,432 is 48954672

GCF of denominators i.e. for 518,288,418 is 2.

Thus, LCM of Fractions is 24477336.Finally, LCM of Fractions for 299/518, 758/288, 432/418 is 24477336.