Least Common Multiple of 272/72, 392/27, 546/26

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 272/72, 392/27, 546/26 quickly i.e. 519792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 272/72, 392/27, 546/26 is 519792.

LCM(272/72, 392/27, 546/26) = 519792

LCM of 272/72, 392/27, 546/26

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 272/72,392/27,546/26

Given numbers are 272/72,392/27,546/26

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 272,392,546

Least Common Multiple of Numerators i.e. LCM of 272,392,546 is 519792.

GCF of Denominators means GCF of 72,27,26 as per the given fractions.

GCF of 72,27,26 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 272,392,546

LCM of Fractions 272/72,392/27,546/26 is 519792

2 272, 392, 546
2 136, 196, 273
2 68, 98, 273
7 34, 49, 273
34, 7, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 34 x 7 x 39 = 519792

Least Common Multiple of 272,392,546 with GCF Formula

Least Common Multiple of 272,392,546 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 272,392,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,392,546) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(272,392,546) x common factors =2 x 56 = 112

LCM(272,392,546) = ( 272 × 392 × 546 ) / 112

LCM(272,392,546) = 58216704 / 112

LCM(272,392,546) = 519792


Lets's calculate GCF of 72,27,26

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 519792/1

Therefore the LCM of Fractions 272/72,392/27,546/26 is 519792

Greatest Common Factor of 72,27,26 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,27,26 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Greatest Common Factor

We found the factors 72,27,26 . The biggest common factor number is the GCF number.
So the greatest common factor 72,27,26 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 272/72, 392/27, 546/26

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 272/72, 392/27, 546/26?

Answer: LCM of Numerators as per given numbers 272/72, 392/27, 546/26 is

LCM of Numerators i.e. for 272,392,546 is 519792

GCF of denominators i.e. for 72,27,26 is 1.

Thus, LCM of Fractions is 519792.Finally, LCM of Fractions for 272/72, 392/27, 546/26 is 519792.