Least Common Multiple of 23/330, 19/581, 313/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/330, 19/581, 313/174 quickly i.e. 136781 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/330, 19/581, 313/174 is 136781.

LCM(23/330, 19/581, 313/174) = 136781

LCM of 23/330, 19/581, 313/174

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 23/330,19/581,313/174

Given numbers are 23/330,19/581,313/174

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 23,19,313

Least Common Multiple of Numerators i.e. LCM of 23,19,313 is 136781.

GCF of Denominators means GCF of 330,581,174 as per the given fractions.

GCF of 330,581,174 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,19,313

LCM of Fractions 23/330,19/581,313/174 is 136781

Given numbers has no common factors except 1. So, there LCM is their product i.e 136781

Least Common Multiple of 23,19,313 with GCF Formula

Least Common Multiple of 23,19,313 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 23,19,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,19,313) = 1

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

GCF(23,19,313) x common factors =1 x 1 = 1

LCM(23,19,313) = ( 23 × 19 × 313 ) / 1

LCM(23,19,313) = 136781 / 1

LCM(23,19,313) = 136781


Lets's calculate GCF of 330,581,174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136781/1

Therefore the LCM of Fractions 23/330,19/581,313/174 is 136781

Greatest Common Factor of 330,581,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,581,174 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 330,581,174 . The biggest common factor number is the GCF number.
So the greatest common factor 330,581,174 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 23/330, 19/581, 313/174

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 23/330, 19/581, 313/174?

Answer: LCM of Numerators as per given numbers 23/330, 19/581, 313/174 is

LCM of Numerators i.e. for 23,19,313 is 136781

GCF of denominators i.e. for 330,581,174 is 1.

Thus, LCM of Fractions is 136781.Finally, LCM of Fractions for 23/330, 19/581, 313/174 is 136781.