Least Common Multiple of 51/77, 39/28, 27/13, 81/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/77, 39/28, 27/13, 81/572 quickly i.e. 17901 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/77, 39/28, 27/13, 81/572 is 17901.

LCM(51/77, 39/28, 27/13, 81/572) = 17901

LCM of 51/77, 39/28, 27/13, 81/572

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 51/77,39/28,27/13,81/572

Given numbers are 51/77,39/28,27/13,81/572

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 51,39,27,81

Least Common Multiple of Numerators i.e. LCM of 51,39,27,81 is 17901.

GCF of Denominators means GCF of 77,28,13,572 as per the given fractions.

GCF of 77,28,13,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,39,27,81

LCM of Fractions 51/77,39/28,27/13,81/572 is 17901

3 51, 39, 27, 81
3 17, 13, 9, 27
3 17, 13, 3, 9
17, 13, 1, 3

∴ So the LCM of the given numbers is 3 x 3 x 3 x 17 x 13 x 1 x 3 = 17901

Least Common Multiple of 51,39,27,81 with GCF Formula

Least Common Multiple of 51,39,27,81 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 51,39,27,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,39,27,81) = 3

common factors(in case of two or more numbers have common factors) = 81

GCF(51,39,27,81) x common factors =3 x 81 = 243

LCM(51,39,27,81) = ( 51 × 39 × 27 × 81 ) / 243

LCM(51,39,27,81) = 4349943 / 243

LCM(51,39,27,81) = 17901


Lets's calculate GCF of 77,28,13,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17901/1

Therefore the LCM of Fractions 51/77,39/28,27/13,81/572 is 17901

Greatest Common Factor of 77,28,13,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,28,13,572 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 13

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

1,13

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 77,28,13,572 . The biggest common factor number is the GCF number.
So the greatest common factor 77,28,13,572 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 51/77, 39/28, 27/13, 81/572

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 51/77, 39/28, 27/13, 81/572?

Answer: LCM of Numerators as per given numbers 51/77, 39/28, 27/13, 81/572 is

LCM of Numerators i.e. for 51,39,27,81 is 17901

GCF of denominators i.e. for 77,28,13,572 is 1.

Thus, LCM of Fractions is 17901.Finally, LCM of Fractions for 51/77, 39/28, 27/13, 81/572 is 17901.