Least Common Multiple of 384/76, 747/3987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/76, 747/3987 quickly i.e. 95616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/76, 747/3987 is 95616.

LCM(384/76, 747/3987) = 95616

LCM of 384/76, 747/3987

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 384/76,747/3987

Given numbers are 384/76,747/3987

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 384,747

Least Common Multiple of Numerators i.e. LCM of 384,747 is 95616.

GCF of Denominators means GCF of 76,3987 as per the given fractions.

GCF of 76,3987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,747

LCM of Fractions 384/76,747/3987 is 95616

3 384, 747
128, 249

∴ So the LCM of the given numbers is 3 x 128 x 249 = 95616

Least Common Multiple of 384,747 with GCF Formula

Least Common Multiple of 384,747 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 384,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,747) = 3

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

GCF(384,747) x common factors =3 x 1 = 3

LCM(384,747) = ( 384 × 747 ) / 3

LCM(384,747) = 286848 / 3

LCM(384,747) = 95616


Lets's calculate GCF of 76,3987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95616/1

Therefore the LCM of Fractions 384/76,747/3987 is 95616

Greatest Common Factor of 76,3987 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,3987 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 3987

List of positive integer factors of 3987 that divides 3987 without a remainder.

1,3,9,443,1329,3987

Greatest Common Factor

We found the factors 76,3987 . The biggest common factor number is the GCF number.
So the greatest common factor 76,3987 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 384/76, 747/3987

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 384/76, 747/3987?

Answer: LCM of Numerators as per given numbers 384/76, 747/3987 is

LCM of Numerators i.e. for 384,747 is 95616

GCF of denominators i.e. for 76,3987 is 1.

Thus, LCM of Fractions is 95616.Finally, LCM of Fractions for 384/76, 747/3987 is 95616.