Least Common Multiple of 585/40, 195/12, 342/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/40, 195/12, 342/192 quickly i.e. 22230/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/40, 195/12, 342/192 is 22230/4.

LCM(585/40, 195/12, 342/192) = 22230/4

LCM of 585/40, 195/12, 342/192

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 585/40,195/12,342/192

Given numbers are 585/40,195/12,342/192

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 585,195,342

Least Common Multiple of Numerators i.e. LCM of 585,195,342 is 22230.

GCF of Denominators means GCF of 40,12,192 as per the given fractions.

GCF of 40,12,192 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,195,342

LCM of Fractions 585/40,195/12,342/192 is 22230/4

3 585, 195, 342
3 195, 65, 114
5 65, 65, 38
13 13, 13, 38
1, 1, 38

∴ So the LCM of the given numbers is 3 x 3 x 5 x 13 x 1 x 1 x 38 = 22230

Least Common Multiple of 585,195,342 with GCF Formula

Least Common Multiple of 585,195,342 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 585,195,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,195,342) = 3

common factors(in case of two or more numbers have common factors) = 585

GCF(585,195,342) x common factors =3 x 585 = 1755

LCM(585,195,342) = ( 585 × 195 × 342 ) / 1755

LCM(585,195,342) = 39013650 / 1755

LCM(585,195,342) = 22230


Lets's calculate GCF of 40,12,192

2 40, 12, 192
2 20, 6, 96
10, 3, 48

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22230/4

Therefore the LCM of Fractions 585/40,195/12,342/192 is 22230/4

Greatest Common Factor of 40,12,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,12,192 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 40,12,192 . The biggest common factor number is the GCF number.
So the greatest common factor 40,12,192 is 4.


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 585/40, 195/12, 342/192

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 585/40, 195/12, 342/192?

Answer: LCM of Numerators as per given numbers 585/40, 195/12, 342/192 is

LCM of Numerators i.e. for 585,195,342 is 22230

GCF of denominators i.e. for 40,12,192 is 4.

Thus, LCM of Fractions is 22230/4.Finally, LCM of Fractions for 585/40, 195/12, 342/192 is 22230/4.