Least Common Multiple of 319/80, 337/93, 174/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/80, 337/93, 174/226 quickly i.e. 645018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/80, 337/93, 174/226 is 645018.

LCM(319/80, 337/93, 174/226) = 645018

LCM of 319/80, 337/93, 174/226

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 319/80,337/93,174/226

Given numbers are 319/80,337/93,174/226

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 319,337,174

Least Common Multiple of Numerators i.e. LCM of 319,337,174 is 645018.

GCF of Denominators means GCF of 80,93,226 as per the given fractions.

GCF of 80,93,226 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,337,174

LCM of Fractions 319/80,337/93,174/226 is 645018

29 319, 337, 174
11, 337, 6

∴ So the LCM of the given numbers is 29 x 11 x 337 x 6 = 645018

Least Common Multiple of 319,337,174 with GCF Formula

Least Common Multiple of 319,337,174 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 319,337,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,337,174) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(319,337,174) x common factors =1 x 29 = 29

LCM(319,337,174) = ( 319 × 337 × 174 ) / 29

LCM(319,337,174) = 18705522 / 29

LCM(319,337,174) = 645018


Lets's calculate GCF of 80,93,226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 645018/1

Therefore the LCM of Fractions 319/80,337/93,174/226 is 645018

Greatest Common Factor of 80,93,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,93,226 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 80,93,226 . The biggest common factor number is the GCF number.
So the greatest common factor 80,93,226 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 319/80, 337/93, 174/226

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 319/80, 337/93, 174/226?

Answer: LCM of Numerators as per given numbers 319/80, 337/93, 174/226 is

LCM of Numerators i.e. for 319,337,174 is 645018

GCF of denominators i.e. for 80,93,226 is 1.

Thus, LCM of Fractions is 645018.Finally, LCM of Fractions for 319/80, 337/93, 174/226 is 645018.