Least Common Multiple of 585/52, 569/4121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/52, 569/4121 quickly i.e. 25605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/52, 569/4121 is 25605.

LCM(585/52, 569/4121) = 25605

LCM of 585/52, 569/4121

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 585/52,569/4121

Given numbers are 585/52,569/4121

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 585,569

Least Common Multiple of Numerators i.e. LCM of 585,569 is 332865.

GCF of Denominators means GCF of 52,4121 as per the given fractions.

GCF of 52,4121 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,569

LCM of Fractions 585/52,569/4121 is 25605

Given numbers has no common factors except 1. So, there LCM is their product i.e 332865

Least Common Multiple of 585,569 with GCF Formula

Least Common Multiple of 585,569 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 585,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,569) = 1

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

GCF(585,569) x common factors =1 x 1 = 1

LCM(585,569) = ( 585 × 569 ) / 1

LCM(585,569) = 332865 / 1

LCM(585,569) = 332865


Lets's calculate GCF of 52,4121

13 52, 4121
4, 317

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332865/13

Therefore the LCM of Fractions 585/52,569/4121 is 25605

Greatest Common Factor of 52,4121 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,4121 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 4121

List of positive integer factors of 4121 that divides 4121 without a remainder.

1,13,317,4121

Greatest Common Factor

We found the factors 52,4121 . The biggest common factor number is the GCF number.
So the greatest common factor 52,4121 is 13.


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 585/52, 569/4121

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 585/52, 569/4121?

Answer: LCM of Numerators as per given numbers 585/52, 569/4121 is

LCM of Numerators i.e. for 585,569 is 332865

GCF of denominators i.e. for 52,4121 is 13.

Thus, LCM of Fractions is 25605.Finally, LCM of Fractions for 585/52, 569/4121 is 25605.