Least Common Multiple of 5511/589, 3438/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5511/589, 3438/775 quickly i.e. 6315606/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5511/589, 3438/775 is 6315606/31.

LCM(5511/589, 3438/775) = 6315606/31

LCM of 5511/589, 3438/775

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 5511/589,3438/775

Given numbers are 5511/589,3438/775

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 5511,3438

Least Common Multiple of Numerators i.e. LCM of 5511,3438 is 6315606.

GCF of Denominators means GCF of 589,775 as per the given fractions.

GCF of 589,775 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5511,3438

LCM of Fractions 5511/589,3438/775 is 6315606/31

3 5511, 3438
1837, 1146

∴ So the LCM of the given numbers is 3 x 1837 x 1146 = 6315606

Least Common Multiple of 5511,3438 with GCF Formula

Least Common Multiple of 5511,3438 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 5511,3438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5511,3438) = 3

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

GCF(5511,3438) x common factors =3 x 1 = 3

LCM(5511,3438) = ( 5511 × 3438 ) / 3

LCM(5511,3438) = 18946818 / 3

LCM(5511,3438) = 6315606


Lets's calculate GCF of 589,775

31 589, 775
19, 25

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6315606/31

Therefore the LCM of Fractions 5511/589,3438/775 is 6315606/31

Greatest Common Factor of 589,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,775 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 589,775 . The biggest common factor number is the GCF number.
So the greatest common factor 589,775 is 31.


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 5511/589, 3438/775

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 5511/589, 3438/775?

Answer: LCM of Numerators as per given numbers 5511/589, 3438/775 is

LCM of Numerators i.e. for 5511,3438 is 6315606

GCF of denominators i.e. for 589,775 is 31.

Thus, LCM of Fractions is 6315606/31.Finally, LCM of Fractions for 5511/589, 3438/775 is 6315606/31.