Least Common Multiple of 19/738, 131/654, 739/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/738, 131/654, 739/294 quickly i.e. 1839371/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/738, 131/654, 739/294 is 1839371/6.

LCM(19/738, 131/654, 739/294) = 1839371/6

LCM of 19/738, 131/654, 739/294

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 19/738,131/654,739/294

Given numbers are 19/738,131/654,739/294

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 19,131,739

Least Common Multiple of Numerators i.e. LCM of 19,131,739 is 1839371.

GCF of Denominators means GCF of 738,654,294 as per the given fractions.

GCF of 738,654,294 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,131,739

LCM of Fractions 19/738,131/654,739/294 is 1839371/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 1839371

Least Common Multiple of 19,131,739 with GCF Formula

Least Common Multiple of 19,131,739 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 19,131,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,131,739) = 1

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

GCF(19,131,739) x common factors =1 x 1 = 1

LCM(19,131,739) = ( 19 × 131 × 739 ) / 1

LCM(19,131,739) = 1839371 / 1

LCM(19,131,739) = 1839371


Lets's calculate GCF of 738,654,294

2 738, 654, 294
3 369, 327, 147
123, 109, 49

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1839371/6

Therefore the LCM of Fractions 19/738,131/654,739/294 is 1839371/6

Greatest Common Factor of 738,654,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,654,294 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 738,654,294 . The biggest common factor number is the GCF number.
So the greatest common factor 738,654,294 is 6.


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 19/738, 131/654, 739/294

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 19/738, 131/654, 739/294?

Answer: LCM of Numerators as per given numbers 19/738, 131/654, 739/294 is

LCM of Numerators i.e. for 19,131,739 is 1839371

GCF of denominators i.e. for 738,654,294 is 6.

Thus, LCM of Fractions is 1839371/6.Finally, LCM of Fractions for 19/738, 131/654, 739/294 is 1839371/6.