Least Common Multiple of 704/928, 463/670, 498/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/928, 463/670, 498/179 quickly i.e. 81162048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/928, 463/670, 498/179 is 81162048.

LCM(704/928, 463/670, 498/179) = 81162048

LCM of 704/928, 463/670, 498/179

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 704/928,463/670,498/179

Given numbers are 704/928,463/670,498/179

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 704,463,498

Least Common Multiple of Numerators i.e. LCM of 704,463,498 is 81162048.

GCF of Denominators means GCF of 928,670,179 as per the given fractions.

GCF of 928,670,179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,463,498

LCM of Fractions 704/928,463/670,498/179 is 81162048

2 704, 463, 498
352, 463, 249

∴ So the LCM of the given numbers is 2 x 352 x 463 x 249 = 81162048

Least Common Multiple of 704,463,498 with GCF Formula

Least Common Multiple of 704,463,498 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 704,463,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,463,498) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(704,463,498) x common factors =1 x 2 = 2

LCM(704,463,498) = ( 704 × 463 × 498 ) / 2

LCM(704,463,498) = 162324096 / 2

LCM(704,463,498) = 81162048


Lets's calculate GCF of 928,670,179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81162048/1

Therefore the LCM of Fractions 704/928,463/670,498/179 is 81162048

Greatest Common Factor of 928,670,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,670,179 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 928,670,179 . The biggest common factor number is the GCF number.
So the greatest common factor 928,670,179 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 704/928, 463/670, 498/179

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 704/928, 463/670, 498/179?

Answer: LCM of Numerators as per given numbers 704/928, 463/670, 498/179 is

LCM of Numerators i.e. for 704,463,498 is 81162048

GCF of denominators i.e. for 928,670,179 is 1.

Thus, LCM of Fractions is 81162048.Finally, LCM of Fractions for 704/928, 463/670, 498/179 is 81162048.