Least Common Multiple of 27/319, 7914/2717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/319, 7914/2717 quickly i.e. 71226/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/319, 7914/2717 is 71226/11.

LCM(27/319, 7914/2717) = 71226/11

LCM of 27/319, 7914/2717

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 27/319,7914/2717

Given numbers are 27/319,7914/2717

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 27,7914

Least Common Multiple of Numerators i.e. LCM of 27,7914 is 71226.

GCF of Denominators means GCF of 319,2717 as per the given fractions.

GCF of 319,2717 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,7914

LCM of Fractions 27/319,7914/2717 is 71226/11

3 27, 7914
9, 2638

∴ So the LCM of the given numbers is 3 x 9 x 2638 = 71226

Least Common Multiple of 27,7914 with GCF Formula

Least Common Multiple of 27,7914 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 27,7914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,7914) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(27,7914) x common factors =3 x 1 = 3

LCM(27,7914) = ( 27 × 7914 ) / 3

LCM(27,7914) = 213678 / 3

LCM(27,7914) = 71226


Lets's calculate GCF of 319,2717

11 319, 2717
29, 247

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71226/11

Therefore the LCM of Fractions 27/319,7914/2717 is 71226/11

Greatest Common Factor of 319,2717 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,2717 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 2717

List of positive integer factors of 2717 that divides 2717 without a remainder.

1,11,13,19,143,209,247,2717

Greatest Common Factor

We found the factors 319,2717 . The biggest common factor number is the GCF number.
So the greatest common factor 319,2717 is 11.


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 27/319, 7914/2717

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 27/319, 7914/2717?

Answer: LCM of Numerators as per given numbers 27/319, 7914/2717 is

LCM of Numerators i.e. for 27,7914 is 71226

GCF of denominators i.e. for 319,2717 is 11.

Thus, LCM of Fractions is 71226/11.Finally, LCM of Fractions for 27/319, 7914/2717 is 71226/11.