Least Common Multiple of 464/327, 228/649, 818/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/327, 228/649, 818/389 quickly i.e. 10817232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/327, 228/649, 818/389 is 10817232.

LCM(464/327, 228/649, 818/389) = 10817232

LCM of 464/327, 228/649, 818/389

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 464/327,228/649,818/389

Given numbers are 464/327,228/649,818/389

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 464,228,818

Least Common Multiple of Numerators i.e. LCM of 464,228,818 is 10817232.

GCF of Denominators means GCF of 327,649,389 as per the given fractions.

GCF of 327,649,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,228,818

LCM of Fractions 464/327,228/649,818/389 is 10817232

2 464, 228, 818
2 232, 114, 409
116, 57, 409

∴ So the LCM of the given numbers is 2 x 2 x 116 x 57 x 409 = 10817232

Least Common Multiple of 464,228,818 with GCF Formula

Least Common Multiple of 464,228,818 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 464,228,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,228,818) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(464,228,818) x common factors =2 x 4 = 8

LCM(464,228,818) = ( 464 × 228 × 818 ) / 8

LCM(464,228,818) = 86537856 / 8

LCM(464,228,818) = 10817232


Lets's calculate GCF of 327,649,389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10817232/1

Therefore the LCM of Fractions 464/327,228/649,818/389 is 10817232

Greatest Common Factor of 327,649,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,649,389 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 327,649,389 . The biggest common factor number is the GCF number.
So the greatest common factor 327,649,389 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 464/327, 228/649, 818/389

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 464/327, 228/649, 818/389?

Answer: LCM of Numerators as per given numbers 464/327, 228/649, 818/389 is

LCM of Numerators i.e. for 464,228,818 is 10817232

GCF of denominators i.e. for 327,649,389 is 1.

Thus, LCM of Fractions is 10817232.Finally, LCM of Fractions for 464/327, 228/649, 818/389 is 10817232.