Least Common Multiple of 288/179, 8353/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/179, 8353/546 quickly i.e. 2405664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/179, 8353/546 is 2405664.

LCM(288/179, 8353/546) = 2405664

LCM of 288/179, 8353/546

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 288/179,8353/546

Given numbers are 288/179,8353/546

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 288,8353

Least Common Multiple of Numerators i.e. LCM of 288,8353 is 2405664.

GCF of Denominators means GCF of 179,546 as per the given fractions.

GCF of 179,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,8353

LCM of Fractions 288/179,8353/546 is 2405664

Given numbers has no common factors except 1. So, there LCM is their product i.e 2405664

Least Common Multiple of 288,8353 with GCF Formula

Least Common Multiple of 288,8353 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 288,8353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,8353) = 1

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

GCF(288,8353) x common factors =1 x 1 = 1

LCM(288,8353) = ( 288 × 8353 ) / 1

LCM(288,8353) = 2405664 / 1

LCM(288,8353) = 2405664


Lets's calculate GCF of 179,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2405664/1

Therefore the LCM of Fractions 288/179,8353/546 is 2405664

Greatest Common Factor of 179,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 179,546 By Matching Biggest Common Factor Method

Factors of 179

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

1,179

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 179,546 . The biggest common factor number is the GCF number.
So the greatest common factor 179,546 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 288/179, 8353/546

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 288/179, 8353/546?

Answer: LCM of Numerators as per given numbers 288/179, 8353/546 is

LCM of Numerators i.e. for 288,8353 is 2405664

GCF of denominators i.e. for 179,546 is 1.

Thus, LCM of Fractions is 2405664.Finally, LCM of Fractions for 288/179, 8353/546 is 2405664.