Least Common Multiple of 27/744, 199/784, 591/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/744, 199/784, 591/351 quickly i.e. 1058481 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/744, 199/784, 591/351 is 1058481.

LCM(27/744, 199/784, 591/351) = 1058481

LCM of 27/744, 199/784, 591/351

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 27/744,199/784,591/351

Given numbers are 27/744,199/784,591/351

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 27,199,591

Least Common Multiple of Numerators i.e. LCM of 27,199,591 is 1058481.

GCF of Denominators means GCF of 744,784,351 as per the given fractions.

GCF of 744,784,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,199,591

LCM of Fractions 27/744,199/784,591/351 is 1058481

3 27, 199, 591
9, 199, 197

∴ So the LCM of the given numbers is 3 x 9 x 199 x 197 = 1058481

Least Common Multiple of 27,199,591 with GCF Formula

Least Common Multiple of 27,199,591 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 27,199,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,199,591) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,199,591) x common factors =1 x 3 = 3

LCM(27,199,591) = ( 27 × 199 × 591 ) / 3

LCM(27,199,591) = 3175443 / 3

LCM(27,199,591) = 1058481


Lets's calculate GCF of 744,784,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1058481/1

Therefore the LCM of Fractions 27/744,199/784,591/351 is 1058481

Greatest Common Factor of 744,784,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,784,351 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 744,784,351 . The biggest common factor number is the GCF number.
So the greatest common factor 744,784,351 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 27/744, 199/784, 591/351

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 27/744, 199/784, 591/351?

Answer: LCM of Numerators as per given numbers 27/744, 199/784, 591/351 is

LCM of Numerators i.e. for 27,199,591 is 1058481

GCF of denominators i.e. for 744,784,351 is 1.

Thus, LCM of Fractions is 1058481.Finally, LCM of Fractions for 27/744, 199/784, 591/351 is 1058481.