Least Common Multiple of 704/288, 513/764, 893/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/288, 513/764, 893/610 quickly i.e. 8487072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/288, 513/764, 893/610 is 8487072.

LCM(704/288, 513/764, 893/610) = 8487072

LCM of 704/288, 513/764, 893/610

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 704/288,513/764,893/610

Given numbers are 704/288,513/764,893/610

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 704,513,893

Least Common Multiple of Numerators i.e. LCM of 704,513,893 is 16974144.

GCF of Denominators means GCF of 288,764,610 as per the given fractions.

GCF of 288,764,610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,513,893

LCM of Fractions 704/288,513/764,893/610 is 8487072

19 704, 513, 893
704, 27, 47

∴ So the LCM of the given numbers is 19 x 704 x 27 x 47 = 16974144

Least Common Multiple of 704,513,893 with GCF Formula

Least Common Multiple of 704,513,893 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 704,513,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,513,893) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(704,513,893) x common factors =1 x 19 = 19

LCM(704,513,893) = ( 704 × 513 × 893 ) / 19

LCM(704,513,893) = 322508736 / 19

LCM(704,513,893) = 16974144


Lets's calculate GCF of 288,764,610

2 288, 764, 610
144, 382, 305

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16974144/2

Therefore the LCM of Fractions 704/288,513/764,893/610 is 8487072

Greatest Common Factor of 288,764,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,764,610 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 288,764,610 . The biggest common factor number is the GCF number.
So the greatest common factor 288,764,610 is 2.


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 704/288, 513/764, 893/610

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 704/288, 513/764, 893/610?

Answer: LCM of Numerators as per given numbers 704/288, 513/764, 893/610 is

LCM of Numerators i.e. for 704,513,893 is 16974144

GCF of denominators i.e. for 288,764,610 is 2.

Thus, LCM of Fractions is 8487072.Finally, LCM of Fractions for 704/288, 513/764, 893/610 is 8487072.