Least Common Multiple of 228/410, 231/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/410, 231/430 quickly i.e. 17556/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/410, 231/430 is 17556/10.

LCM(228/410, 231/430) = 17556/10

LCM of 228/410, 231/430

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 228/410,231/430

Given numbers are 228/410,231/430

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 228,231

Least Common Multiple of Numerators i.e. LCM of 228,231 is 17556.

GCF of Denominators means GCF of 410,430 as per the given fractions.

GCF of 410,430 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,231

LCM of Fractions 228/410,231/430 is 17556/10

3 228, 231
76, 77

∴ So the LCM of the given numbers is 3 x 76 x 77 = 17556

Least Common Multiple of 228,231 with GCF Formula

Least Common Multiple of 228,231 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 228,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,231) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(228,231) x common factors =3 x 1 = 3

LCM(228,231) = ( 228 × 231 ) / 3

LCM(228,231) = 52668 / 3

LCM(228,231) = 17556


Lets's calculate GCF of 410,430

2 410, 430
5 205, 215
41, 43

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17556/10

Therefore the LCM of Fractions 228/410,231/430 is 17556/10

Greatest Common Factor of 410,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,430 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 410,430 . The biggest common factor number is the GCF number.
So the greatest common factor 410,430 is 10.


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 228/410, 231/430

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 228/410, 231/430?

Answer: LCM of Numerators as per given numbers 228/410, 231/430 is

LCM of Numerators i.e. for 228,231 is 17556

GCF of denominators i.e. for 410,430 is 10.

Thus, LCM of Fractions is 17556/10.Finally, LCM of Fractions for 228/410, 231/430 is 17556/10.