Least Common Multiple of 585/911, 588/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/911, 588/460 quickly i.e. 114660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/911, 588/460 is 114660.

LCM(585/911, 588/460) = 114660

LCM of 585/911, 588/460

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 585/911,588/460

Given numbers are 585/911,588/460

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 585,588

Least Common Multiple of Numerators i.e. LCM of 585,588 is 114660.

GCF of Denominators means GCF of 911,460 as per the given fractions.

GCF of 911,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,588

LCM of Fractions 585/911,588/460 is 114660

3 585, 588
195, 196

∴ So the LCM of the given numbers is 3 x 195 x 196 = 114660

Least Common Multiple of 585,588 with GCF Formula

Least Common Multiple of 585,588 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 585,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,588) = 3

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

GCF(585,588) x common factors =3 x 1 = 3

LCM(585,588) = ( 585 × 588 ) / 3

LCM(585,588) = 343980 / 3

LCM(585,588) = 114660


Lets's calculate GCF of 911,460

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114660/1

Therefore the LCM of Fractions 585/911,588/460 is 114660

Greatest Common Factor of 911,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 911,460 By Matching Biggest Common Factor Method

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 911,460 . The biggest common factor number is the GCF number.
So the greatest common factor 911,460 is 1.


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 585/911, 588/460

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 585/911, 588/460?

Answer: LCM of Numerators as per given numbers 585/911, 588/460 is

LCM of Numerators i.e. for 585,588 is 114660

GCF of denominators i.e. for 911,460 is 1.

Thus, LCM of Fractions is 114660.Finally, LCM of Fractions for 585/911, 588/460 is 114660.