Least Common Multiple of 12/577, 39/284, 354/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/577, 39/284, 354/195 quickly i.e. 9204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/577, 39/284, 354/195 is 9204.

LCM(12/577, 39/284, 354/195) = 9204

LCM of 12/577, 39/284, 354/195

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 12/577,39/284,354/195

Given numbers are 12/577,39/284,354/195

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 12,39,354

Least Common Multiple of Numerators i.e. LCM of 12,39,354 is 9204.

GCF of Denominators means GCF of 577,284,195 as per the given fractions.

GCF of 577,284,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,39,354

LCM of Fractions 12/577,39/284,354/195 is 9204

2 12, 39, 354
3 6, 39, 177
2, 13, 59

∴ So the LCM of the given numbers is 2 x 3 x 2 x 13 x 59 = 9204

Least Common Multiple of 12,39,354 with GCF Formula

Least Common Multiple of 12,39,354 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 12,39,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,39,354) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(12,39,354) x common factors =3 x 6 = 18

LCM(12,39,354) = ( 12 × 39 × 354 ) / 18

LCM(12,39,354) = 165672 / 18

LCM(12,39,354) = 9204


Lets's calculate GCF of 577,284,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9204/1

Therefore the LCM of Fractions 12/577,39/284,354/195 is 9204

Greatest Common Factor of 577,284,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,284,195 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 577,284,195 . The biggest common factor number is the GCF number.
So the greatest common factor 577,284,195 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 12/577, 39/284, 354/195

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 12/577, 39/284, 354/195?

Answer: LCM of Numerators as per given numbers 12/577, 39/284, 354/195 is

LCM of Numerators i.e. for 12,39,354 is 9204

GCF of denominators i.e. for 577,284,195 is 1.

Thus, LCM of Fractions is 9204.Finally, LCM of Fractions for 12/577, 39/284, 354/195 is 9204.