Least Common Multiple of 384/986, 147/386, 409/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/986, 147/386, 409/513 quickly i.e. 7695744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/986, 147/386, 409/513 is 7695744.

LCM(384/986, 147/386, 409/513) = 7695744

LCM of 384/986, 147/386, 409/513

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 384/986,147/386,409/513

Given numbers are 384/986,147/386,409/513

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 384,147,409

Least Common Multiple of Numerators i.e. LCM of 384,147,409 is 7695744.

GCF of Denominators means GCF of 986,386,513 as per the given fractions.

GCF of 986,386,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,147,409

LCM of Fractions 384/986,147/386,409/513 is 7695744

3 384, 147, 409
128, 49, 409

∴ So the LCM of the given numbers is 3 x 128 x 49 x 409 = 7695744

Least Common Multiple of 384,147,409 with GCF Formula

Least Common Multiple of 384,147,409 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 384,147,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,147,409) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(384,147,409) x common factors =1 x 3 = 3

LCM(384,147,409) = ( 384 × 147 × 409 ) / 3

LCM(384,147,409) = 23087232 / 3

LCM(384,147,409) = 7695744


Lets's calculate GCF of 986,386,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7695744/1

Therefore the LCM of Fractions 384/986,147/386,409/513 is 7695744

Greatest Common Factor of 986,386,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,386,513 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 986,386,513 . The biggest common factor number is the GCF number.
So the greatest common factor 986,386,513 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 384/986, 147/386, 409/513

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 384/986, 147/386, 409/513?

Answer: LCM of Numerators as per given numbers 384/986, 147/386, 409/513 is

LCM of Numerators i.e. for 384,147,409 is 7695744

GCF of denominators i.e. for 986,386,513 is 1.

Thus, LCM of Fractions is 7695744.Finally, LCM of Fractions for 384/986, 147/386, 409/513 is 7695744.