Least Common Multiple of 588/298, 334/363, 230/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 588/298, 334/363, 230/699 quickly i.e. 11292540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/298, 334/363, 230/699 is 11292540.

LCM(588/298, 334/363, 230/699) = 11292540

LCM of 588/298, 334/363, 230/699

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 588/298,334/363,230/699

Given numbers are 588/298,334/363,230/699

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 588,334,230

Least Common Multiple of Numerators i.e. LCM of 588,334,230 is 11292540.

GCF of Denominators means GCF of 298,363,699 as per the given fractions.

GCF of 298,363,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,334,230

LCM of Fractions 588/298,334/363,230/699 is 11292540

2 588, 334, 230
294, 167, 115

∴ So the LCM of the given numbers is 2 x 294 x 167 x 115 = 11292540

Least Common Multiple of 588,334,230 with GCF Formula

Least Common Multiple of 588,334,230 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 588,334,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,334,230) = 2

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

GCF(588,334,230) x common factors =2 x 2 = 4

LCM(588,334,230) = ( 588 × 334 × 230 ) / 4

LCM(588,334,230) = 45170160 / 4

LCM(588,334,230) = 11292540


Lets's calculate GCF of 298,363,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11292540/1

Therefore the LCM of Fractions 588/298,334/363,230/699 is 11292540

Greatest Common Factor of 298,363,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,363,699 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 298,363,699 . The biggest common factor number is the GCF number.
So the greatest common factor 298,363,699 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 588/298, 334/363, 230/699

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 588/298, 334/363, 230/699?

Answer: LCM of Numerators as per given numbers 588/298, 334/363, 230/699 is

LCM of Numerators i.e. for 588,334,230 is 11292540

GCF of denominators i.e. for 298,363,699 is 1.

Thus, LCM of Fractions is 11292540.Finally, LCM of Fractions for 588/298, 334/363, 230/699 is 11292540.