Least Common Multiple of 551/208, 405/231, 230/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 551/208, 405/231, 230/588 quickly i.e. 10265130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 551/208, 405/231, 230/588 is 10265130.

LCM(551/208, 405/231, 230/588) = 10265130

LCM of 551/208, 405/231, 230/588

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 551/208,405/231,230/588

Given numbers are 551/208,405/231,230/588

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 551,405,230

Least Common Multiple of Numerators i.e. LCM of 551,405,230 is 10265130.

GCF of Denominators means GCF of 208,231,588 as per the given fractions.

GCF of 208,231,588 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 551,405,230

LCM of Fractions 551/208,405/231,230/588 is 10265130

5 551, 405, 230
551, 81, 46

∴ So the LCM of the given numbers is 5 x 551 x 81 x 46 = 10265130

Least Common Multiple of 551,405,230 with GCF Formula

Least Common Multiple of 551,405,230 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 551,405,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(551,405,230) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(551,405,230) x common factors =1 x 5 = 5

LCM(551,405,230) = ( 551 × 405 × 230 ) / 5

LCM(551,405,230) = 51325650 / 5

LCM(551,405,230) = 10265130


Lets's calculate GCF of 208,231,588

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10265130/1

Therefore the LCM of Fractions 551/208,405/231,230/588 is 10265130

Greatest Common Factor of 208,231,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,231,588 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 208,231,588 . The biggest common factor number is the GCF number.
So the greatest common factor 208,231,588 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 551/208, 405/231, 230/588

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 551/208, 405/231, 230/588?

Answer: LCM of Numerators as per given numbers 551/208, 405/231, 230/588 is

LCM of Numerators i.e. for 551,405,230 is 10265130

GCF of denominators i.e. for 208,231,588 is 1.

Thus, LCM of Fractions is 10265130.Finally, LCM of Fractions for 551/208, 405/231, 230/588 is 10265130.