Least Common Multiple of 188/18, 673/24, 498/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 188/18, 673/24, 498/694 quickly i.e. 15752238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 188/18, 673/24, 498/694 is 15752238.

LCM(188/18, 673/24, 498/694) = 15752238

LCM of 188/18, 673/24, 498/694

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 188/18,673/24,498/694

Given numbers are 188/18,673/24,498/694

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 188,673,498

Least Common Multiple of Numerators i.e. LCM of 188,673,498 is 31504476.

GCF of Denominators means GCF of 18,24,694 as per the given fractions.

GCF of 18,24,694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 188,673,498

LCM of Fractions 188/18,673/24,498/694 is 15752238

2 188, 673, 498
94, 673, 249

∴ So the LCM of the given numbers is 2 x 94 x 673 x 249 = 31504476

Least Common Multiple of 188,673,498 with GCF Formula

Least Common Multiple of 188,673,498 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 188,673,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,673,498) = 1

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

GCF(188,673,498) x common factors =1 x 2 = 2

LCM(188,673,498) = ( 188 × 673 × 498 ) / 2

LCM(188,673,498) = 63008952 / 2

LCM(188,673,498) = 31504476


Lets's calculate GCF of 18,24,694

2 18, 24, 694
9, 12, 347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31504476/2

Therefore the LCM of Fractions 188/18,673/24,498/694 is 15752238

Greatest Common Factor of 18,24,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,24,694 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 18,24,694 . The biggest common factor number is the GCF number.
So the greatest common factor 18,24,694 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 188/18, 673/24, 498/694

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 188/18, 673/24, 498/694?

Answer: LCM of Numerators as per given numbers 188/18, 673/24, 498/694 is

LCM of Numerators i.e. for 188,673,498 is 31504476

GCF of denominators i.e. for 18,24,694 is 2.

Thus, LCM of Fractions is 15752238.Finally, LCM of Fractions for 188/18, 673/24, 498/694 is 15752238.