Least Common Multiple of 288/34, 556/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/34, 556/176 quickly i.e. 20016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/34, 556/176 is 20016.

LCM(288/34, 556/176) = 20016

LCM of 288/34, 556/176

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 288/34,556/176

Given numbers are 288/34,556/176

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 288,556

Least Common Multiple of Numerators i.e. LCM of 288,556 is 40032.

GCF of Denominators means GCF of 34,176 as per the given fractions.

GCF of 34,176 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,556

LCM of Fractions 288/34,556/176 is 20016

2 288, 556
2 144, 278
72, 139

∴ So the LCM of the given numbers is 2 x 2 x 72 x 139 = 40032

Least Common Multiple of 288,556 with GCF Formula

Least Common Multiple of 288,556 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 288,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,556) = 4

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

GCF(288,556) x common factors =4 x 1 = 4

LCM(288,556) = ( 288 × 556 ) / 4

LCM(288,556) = 160128 / 4

LCM(288,556) = 40032


Lets's calculate GCF of 34,176

2 34, 176
17, 88

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40032/2

Therefore the LCM of Fractions 288/34,556/176 is 20016

Greatest Common Factor of 34,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,176 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 34,176 . The biggest common factor number is the GCF number.
So the greatest common factor 34,176 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 288/34, 556/176

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 288/34, 556/176?

Answer: LCM of Numerators as per given numbers 288/34, 556/176 is

LCM of Numerators i.e. for 288,556 is 40032

GCF of denominators i.e. for 34,176 is 2.

Thus, LCM of Fractions is 20016.Finally, LCM of Fractions for 288/34, 556/176 is 20016.