Least Common Multiple of 408/27, 771/2844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/27, 771/2844 quickly i.e. 104856/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/27, 771/2844 is 104856/9.

LCM(408/27, 771/2844) = 104856/9

LCM of 408/27, 771/2844

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 408/27,771/2844

Given numbers are 408/27,771/2844

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 408,771

Least Common Multiple of Numerators i.e. LCM of 408,771 is 104856.

GCF of Denominators means GCF of 27,2844 as per the given fractions.

GCF of 27,2844 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,771

LCM of Fractions 408/27,771/2844 is 104856/9

3 408, 771
136, 257

∴ So the LCM of the given numbers is 3 x 136 x 257 = 104856

Least Common Multiple of 408,771 with GCF Formula

Least Common Multiple of 408,771 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 408,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,771) = 3

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

GCF(408,771) x common factors =3 x 1 = 3

LCM(408,771) = ( 408 × 771 ) / 3

LCM(408,771) = 314568 / 3

LCM(408,771) = 104856


Lets's calculate GCF of 27,2844

3 27, 2844
3 9, 948
3, 316

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104856/9

Therefore the LCM of Fractions 408/27,771/2844 is 104856/9

Greatest Common Factor of 27,2844 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,2844 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 2844

List of positive integer factors of 2844 that divides 2844 without a remainder.

1,2,3,4,6,9,12,18,36,79,158,237,316,474,711,948,1422,2844

Greatest Common Factor

We found the factors 27,2844 . The biggest common factor number is the GCF number.
So the greatest common factor 27,2844 is 9.


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 408/27, 771/2844

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 408/27, 771/2844?

Answer: LCM of Numerators as per given numbers 408/27, 771/2844 is

LCM of Numerators i.e. for 408,771 is 104856

GCF of denominators i.e. for 27,2844 is 9.

Thus, LCM of Fractions is 104856/9.Finally, LCM of Fractions for 408/27, 771/2844 is 104856/9.