Least Common Multiple of 27/561, 54/758, 277/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/561, 54/758, 277/811 quickly i.e. 14958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/561, 54/758, 277/811 is 14958.

LCM(27/561, 54/758, 277/811) = 14958

LCM of 27/561, 54/758, 277/811

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 27/561,54/758,277/811

Given numbers are 27/561,54/758,277/811

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 27,54,277

Least Common Multiple of Numerators i.e. LCM of 27,54,277 is 14958.

GCF of Denominators means GCF of 561,758,811 as per the given fractions.

GCF of 561,758,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,54,277

LCM of Fractions 27/561,54/758,277/811 is 14958

3 27, 54, 277
3 9, 18, 277
3 3, 6, 277
1, 2, 277

∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 2 x 277 = 14958

Least Common Multiple of 27,54,277 with GCF Formula

Least Common Multiple of 27,54,277 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 27,54,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,54,277) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(27,54,277) x common factors =1 x 27 = 27

LCM(27,54,277) = ( 27 × 54 × 277 ) / 27

LCM(27,54,277) = 403866 / 27

LCM(27,54,277) = 14958


Lets's calculate GCF of 561,758,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14958/1

Therefore the LCM of Fractions 27/561,54/758,277/811 is 14958

Greatest Common Factor of 561,758,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,758,811 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Greatest Common Factor

We found the factors 561,758,811 . The biggest common factor number is the GCF number.
So the greatest common factor 561,758,811 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 27/561, 54/758, 277/811

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 27/561, 54/758, 277/811?

Answer: LCM of Numerators as per given numbers 27/561, 54/758, 277/811 is

LCM of Numerators i.e. for 27,54,277 is 14958

GCF of denominators i.e. for 561,758,811 is 1.

Thus, LCM of Fractions is 14958.Finally, LCM of Fractions for 27/561, 54/758, 277/811 is 14958.