Least Common Multiple of 27/390, 276/504, 339/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/390, 276/504, 339/356 quickly i.e. 140346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/390, 276/504, 339/356 is 140346.

LCM(27/390, 276/504, 339/356) = 140346

LCM of 27/390, 276/504, 339/356

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 27/390,276/504,339/356

Given numbers are 27/390,276/504,339/356

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 27,276,339

Least Common Multiple of Numerators i.e. LCM of 27,276,339 is 280692.

GCF of Denominators means GCF of 390,504,356 as per the given fractions.

GCF of 390,504,356 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,276,339

LCM of Fractions 27/390,276/504,339/356 is 140346

3 27, 276, 339
9, 92, 113

∴ So the LCM of the given numbers is 3 x 9 x 92 x 113 = 280692

Least Common Multiple of 27,276,339 with GCF Formula

Least Common Multiple of 27,276,339 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 27,276,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,276,339) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(27,276,339) x common factors =3 x 3 = 9

LCM(27,276,339) = ( 27 × 276 × 339 ) / 9

LCM(27,276,339) = 2526228 / 9

LCM(27,276,339) = 280692


Lets's calculate GCF of 390,504,356

2 390, 504, 356
195, 252, 178

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280692/2

Therefore the LCM of Fractions 27/390,276/504,339/356 is 140346

Greatest Common Factor of 390,504,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,504,356 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 390,504,356 . The biggest common factor number is the GCF number.
So the greatest common factor 390,504,356 is 2.


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 27/390, 276/504, 339/356

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 27/390, 276/504, 339/356?

Answer: LCM of Numerators as per given numbers 27/390, 276/504, 339/356 is

LCM of Numerators i.e. for 27,276,339 is 280692

GCF of denominators i.e. for 390,504,356 is 2.

Thus, LCM of Fractions is 140346.Finally, LCM of Fractions for 27/390, 276/504, 339/356 is 140346.