Least Common Multiple of 230/13, 3585/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 230/13, 3585/169 quickly i.e. 164910/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 230/13, 3585/169 is 164910/13.

LCM(230/13, 3585/169) = 164910/13

LCM of 230/13, 3585/169

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 230/13,3585/169

Given numbers are 230/13,3585/169

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 230,3585

Least Common Multiple of Numerators i.e. LCM of 230,3585 is 164910.

GCF of Denominators means GCF of 13,169 as per the given fractions.

GCF of 13,169 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 230,3585

LCM of Fractions 230/13,3585/169 is 164910/13

5 230, 3585
46, 717

∴ So the LCM of the given numbers is 5 x 46 x 717 = 164910

Least Common Multiple of 230,3585 with GCF Formula

Least Common Multiple of 230,3585 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 230,3585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,3585) = 5

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

GCF(230,3585) x common factors =5 x 1 = 5

LCM(230,3585) = ( 230 × 3585 ) / 5

LCM(230,3585) = 824550 / 5

LCM(230,3585) = 164910


Lets's calculate GCF of 13,169

13 13, 169
1, 13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164910/13

Therefore the LCM of Fractions 230/13,3585/169 is 164910/13

Greatest Common Factor of 13,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,169 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 13,169 . The biggest common factor number is the GCF number.
So the greatest common factor 13,169 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 230/13, 3585/169

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 230/13, 3585/169?

Answer: LCM of Numerators as per given numbers 230/13, 3585/169 is

LCM of Numerators i.e. for 230,3585 is 164910

GCF of denominators i.e. for 13,169 is 13.

Thus, LCM of Fractions is 164910/13.Finally, LCM of Fractions for 230/13, 3585/169 is 164910/13.