Least Common Multiple of 727/13, 440/96, 366/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 727/13, 440/96, 366/686 quickly i.e. 58538040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/13, 440/96, 366/686 is 58538040.

LCM(727/13, 440/96, 366/686) = 58538040

LCM of 727/13, 440/96, 366/686

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 727/13,440/96,366/686

Given numbers are 727/13,440/96,366/686

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 727,440,366

Least Common Multiple of Numerators i.e. LCM of 727,440,366 is 58538040.

GCF of Denominators means GCF of 13,96,686 as per the given fractions.

GCF of 13,96,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,440,366

LCM of Fractions 727/13,440/96,366/686 is 58538040

2 727, 440, 366
727, 220, 183

∴ So the LCM of the given numbers is 2 x 727 x 220 x 183 = 58538040

Least Common Multiple of 727,440,366 with GCF Formula

Least Common Multiple of 727,440,366 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 727,440,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,440,366) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(727,440,366) x common factors =1 x 2 = 2

LCM(727,440,366) = ( 727 × 440 × 366 ) / 2

LCM(727,440,366) = 117076080 / 2

LCM(727,440,366) = 58538040


Lets's calculate GCF of 13,96,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58538040/1

Therefore the LCM of Fractions 727/13,440/96,366/686 is 58538040

Greatest Common Factor of 13,96,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,96,686 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

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

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 13,96,686 . The biggest common factor number is the GCF number.
So the greatest common factor 13,96,686 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 727/13, 440/96, 366/686

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 727/13, 440/96, 366/686?

Answer: LCM of Numerators as per given numbers 727/13, 440/96, 366/686 is

LCM of Numerators i.e. for 727,440,366 is 58538040

GCF of denominators i.e. for 13,96,686 is 1.

Thus, LCM of Fractions is 58538040.Finally, LCM of Fractions for 727/13, 440/96, 366/686 is 58538040.