Least Common Multiple of 396/76, 304/2647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 396/76, 304/2647 quickly i.e. 30096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 396/76, 304/2647 is 30096.

LCM(396/76, 304/2647) = 30096

LCM of 396/76, 304/2647

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 396/76,304/2647

Given numbers are 396/76,304/2647

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 396,304

Least Common Multiple of Numerators i.e. LCM of 396,304 is 30096.

GCF of Denominators means GCF of 76,2647 as per the given fractions.

GCF of 76,2647 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 396,304

LCM of Fractions 396/76,304/2647 is 30096

2 396, 304
2 198, 152
99, 76

∴ So the LCM of the given numbers is 2 x 2 x 99 x 76 = 30096

Least Common Multiple of 396,304 with GCF Formula

Least Common Multiple of 396,304 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 396,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,304) = 4

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

GCF(396,304) x common factors =4 x 1 = 4

LCM(396,304) = ( 396 × 304 ) / 4

LCM(396,304) = 120384 / 4

LCM(396,304) = 30096


Lets's calculate GCF of 76,2647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30096/1

Therefore the LCM of Fractions 396/76,304/2647 is 30096

Greatest Common Factor of 76,2647 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,2647 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 2647

List of positive integer factors of 2647 that divides 2647 without a remainder.

1,2647

Greatest Common Factor

We found the factors 76,2647 . The biggest common factor number is the GCF number.
So the greatest common factor 76,2647 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 396/76, 304/2647

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 396/76, 304/2647?

Answer: LCM of Numerators as per given numbers 396/76, 304/2647 is

LCM of Numerators i.e. for 396,304 is 30096

GCF of denominators i.e. for 76,2647 is 1.

Thus, LCM of Fractions is 30096.Finally, LCM of Fractions for 396/76, 304/2647 is 30096.