Least Common Multiple of 585/345, 2134/2430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/345, 2134/2430 quickly i.e. 83226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/345, 2134/2430 is 83226.

LCM(585/345, 2134/2430) = 83226

LCM of 585/345, 2134/2430

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 585/345,2134/2430

Given numbers are 585/345,2134/2430

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 585,2134

Least Common Multiple of Numerators i.e. LCM of 585,2134 is 1248390.

GCF of Denominators means GCF of 345,2430 as per the given fractions.

GCF of 345,2430 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,2134

LCM of Fractions 585/345,2134/2430 is 83226

Given numbers has no common factors except 1. So, there LCM is their product i.e 1248390

Least Common Multiple of 585,2134 with GCF Formula

Least Common Multiple of 585,2134 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 585,2134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,2134) = 1

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

GCF(585,2134) x common factors =1 x 1 = 1

LCM(585,2134) = ( 585 × 2134 ) / 1

LCM(585,2134) = 1248390 / 1

LCM(585,2134) = 1248390


Lets's calculate GCF of 345,2430

3 345, 2430
5 115, 810
23, 162

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1248390/15

Therefore the LCM of Fractions 585/345,2134/2430 is 83226

Greatest Common Factor of 345,2430 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,2430 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 2430

List of positive integer factors of 2430 that divides 2430 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430

Greatest Common Factor

We found the factors 345,2430 . The biggest common factor number is the GCF number.
So the greatest common factor 345,2430 is 15.


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 585/345, 2134/2430

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 585/345, 2134/2430?

Answer: LCM of Numerators as per given numbers 585/345, 2134/2430 is

LCM of Numerators i.e. for 585,2134 is 1248390

GCF of denominators i.e. for 345,2430 is 15.

Thus, LCM of Fractions is 83226.Finally, LCM of Fractions for 585/345, 2134/2430 is 83226.