Least Common Multiple of 319/298, 289/700, 720/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/298, 289/700, 720/344 quickly i.e. 33188760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/298, 289/700, 720/344 is 33188760.

LCM(319/298, 289/700, 720/344) = 33188760

LCM of 319/298, 289/700, 720/344

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 319/298,289/700,720/344

Given numbers are 319/298,289/700,720/344

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 319,289,720

Least Common Multiple of Numerators i.e. LCM of 319,289,720 is 66377520.

GCF of Denominators means GCF of 298,700,344 as per the given fractions.

GCF of 298,700,344 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,289,720

LCM of Fractions 319/298,289/700,720/344 is 33188760

Given numbers has no common factors except 1. So, there LCM is their product i.e 66377520

Least Common Multiple of 319,289,720 with GCF Formula

Least Common Multiple of 319,289,720 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 319,289,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,289,720) = 1

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

GCF(319,289,720) x common factors =1 x 1 = 1

LCM(319,289,720) = ( 319 × 289 × 720 ) / 1

LCM(319,289,720) = 66377520 / 1

LCM(319,289,720) = 66377520


Lets's calculate GCF of 298,700,344

2 298, 700, 344
149, 350, 172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66377520/2

Therefore the LCM of Fractions 319/298,289/700,720/344 is 33188760

Greatest Common Factor of 298,700,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,700,344 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 298,700,344 . The biggest common factor number is the GCF number.
So the greatest common factor 298,700,344 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 319/298, 289/700, 720/344

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 319/298, 289/700, 720/344?

Answer: LCM of Numerators as per given numbers 319/298, 289/700, 720/344 is

LCM of Numerators i.e. for 319,289,720 is 66377520

GCF of denominators i.e. for 298,700,344 is 2.

Thus, LCM of Fractions is 33188760.Finally, LCM of Fractions for 319/298, 289/700, 720/344 is 33188760.