Least Common Multiple of 384/30, 461/8286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/30, 461/8286 quickly i.e. 29504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/30, 461/8286 is 29504.

LCM(384/30, 461/8286) = 29504

LCM of 384/30, 461/8286

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 384/30,461/8286

Given numbers are 384/30,461/8286

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 384,461

Least Common Multiple of Numerators i.e. LCM of 384,461 is 177024.

GCF of Denominators means GCF of 30,8286 as per the given fractions.

GCF of 30,8286 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,461

LCM of Fractions 384/30,461/8286 is 29504

Given numbers has no common factors except 1. So, there LCM is their product i.e 177024

Least Common Multiple of 384,461 with GCF Formula

Least Common Multiple of 384,461 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 384,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,461) = 1

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

GCF(384,461) x common factors =1 x 1 = 1

LCM(384,461) = ( 384 × 461 ) / 1

LCM(384,461) = 177024 / 1

LCM(384,461) = 177024


Lets's calculate GCF of 30,8286

2 30, 8286
3 15, 4143
5, 1381

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177024/6

Therefore the LCM of Fractions 384/30,461/8286 is 29504

Greatest Common Factor of 30,8286 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,8286 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 8286

List of positive integer factors of 8286 that divides 8286 without a remainder.

1,2,3,6,1381,2762,4143,8286

Greatest Common Factor

We found the factors 30,8286 . The biggest common factor number is the GCF number.
So the greatest common factor 30,8286 is 6.


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 384/30, 461/8286

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 384/30, 461/8286?

Answer: LCM of Numerators as per given numbers 384/30, 461/8286 is

LCM of Numerators i.e. for 384,461 is 177024

GCF of denominators i.e. for 30,8286 is 6.

Thus, LCM of Fractions is 29504.Finally, LCM of Fractions for 384/30, 461/8286 is 29504.