Least Common Multiple of 585/87, 160/6613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/87, 160/6613 quickly i.e. 18720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/87, 160/6613 is 18720.

LCM(585/87, 160/6613) = 18720

LCM of 585/87, 160/6613

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 585/87,160/6613

Given numbers are 585/87,160/6613

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 585,160

Least Common Multiple of Numerators i.e. LCM of 585,160 is 18720.

GCF of Denominators means GCF of 87,6613 as per the given fractions.

GCF of 87,6613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,160

LCM of Fractions 585/87,160/6613 is 18720

5 585, 160
117, 32

∴ So the LCM of the given numbers is 5 x 117 x 32 = 18720

Least Common Multiple of 585,160 with GCF Formula

Least Common Multiple of 585,160 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 585,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,160) = 5

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

GCF(585,160) x common factors =5 x 1 = 5

LCM(585,160) = ( 585 × 160 ) / 5

LCM(585,160) = 93600 / 5

LCM(585,160) = 18720


Lets's calculate GCF of 87,6613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18720/1

Therefore the LCM of Fractions 585/87,160/6613 is 18720

Greatest Common Factor of 87,6613 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,6613 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 6613

List of positive integer factors of 6613 that divides 6613 without a remainder.

1,17,389,6613

Greatest Common Factor

We found the factors 87,6613 . The biggest common factor number is the GCF number.
So the greatest common factor 87,6613 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 585/87, 160/6613

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 585/87, 160/6613?

Answer: LCM of Numerators as per given numbers 585/87, 160/6613 is

LCM of Numerators i.e. for 585,160 is 18720

GCF of denominators i.e. for 87,6613 is 1.

Thus, LCM of Fractions is 18720.Finally, LCM of Fractions for 585/87, 160/6613 is 18720.