Least Common Multiple of 27/708, 2805/4197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/708, 2805/4197 quickly i.e. 8415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/708, 2805/4197 is 8415.

LCM(27/708, 2805/4197) = 8415

LCM of 27/708, 2805/4197

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 27/708,2805/4197

Given numbers are 27/708,2805/4197

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 27,2805

Least Common Multiple of Numerators i.e. LCM of 27,2805 is 25245.

GCF of Denominators means GCF of 708,4197 as per the given fractions.

GCF of 708,4197 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,2805

LCM of Fractions 27/708,2805/4197 is 8415

3 27, 2805
9, 935

∴ So the LCM of the given numbers is 3 x 9 x 935 = 25245

Least Common Multiple of 27,2805 with GCF Formula

Least Common Multiple of 27,2805 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 27,2805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,2805) = 3

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

GCF(27,2805) x common factors =3 x 1 = 3

LCM(27,2805) = ( 27 × 2805 ) / 3

LCM(27,2805) = 75735 / 3

LCM(27,2805) = 25245


Lets's calculate GCF of 708,4197

3 708, 4197
236, 1399

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25245/3

Therefore the LCM of Fractions 27/708,2805/4197 is 8415

Greatest Common Factor of 708,4197 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,4197 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 4197

List of positive integer factors of 4197 that divides 4197 without a remainder.

1,3,1399,4197

Greatest Common Factor

We found the factors 708,4197 . The biggest common factor number is the GCF number.
So the greatest common factor 708,4197 is 3.


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 27/708, 2805/4197

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 27/708, 2805/4197?

Answer: LCM of Numerators as per given numbers 27/708, 2805/4197 is

LCM of Numerators i.e. for 27,2805 is 25245

GCF of denominators i.e. for 708,4197 is 3.

Thus, LCM of Fractions is 8415.Finally, LCM of Fractions for 27/708, 2805/4197 is 8415.