Least Common Multiple of 3084/230, 5569/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3084/230, 5569/820 quickly i.e. 17174796/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3084/230, 5569/820 is 17174796/10.

LCM(3084/230, 5569/820) = 17174796/10

LCM of 3084/230, 5569/820

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 3084/230,5569/820

Given numbers are 3084/230,5569/820

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 3084,5569

Least Common Multiple of Numerators i.e. LCM of 3084,5569 is 17174796.

GCF of Denominators means GCF of 230,820 as per the given fractions.

GCF of 230,820 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3084,5569

LCM of Fractions 3084/230,5569/820 is 17174796/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 17174796

Least Common Multiple of 3084,5569 with GCF Formula

Least Common Multiple of 3084,5569 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 3084,5569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3084,5569) = 1

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

GCF(3084,5569) x common factors =1 x 1 = 1

LCM(3084,5569) = ( 3084 × 5569 ) / 1

LCM(3084,5569) = 17174796 / 1

LCM(3084,5569) = 17174796


Lets's calculate GCF of 230,820

2 230, 820
5 115, 410
23, 82

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17174796/10

Therefore the LCM of Fractions 3084/230,5569/820 is 17174796/10

Greatest Common Factor of 230,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,820 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 230,820 . The biggest common factor number is the GCF number.
So the greatest common factor 230,820 is 10.


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 3084/230, 5569/820

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 3084/230, 5569/820?

Answer: LCM of Numerators as per given numbers 3084/230, 5569/820 is

LCM of Numerators i.e. for 3084,5569 is 17174796

GCF of denominators i.e. for 230,820 is 10.

Thus, LCM of Fractions is 17174796/10.Finally, LCM of Fractions for 3084/230, 5569/820 is 17174796/10.