Least Common Multiple of 320/685, 319/499, 354/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/685, 319/499, 354/818 quickly i.e. 18068160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/685, 319/499, 354/818 is 18068160.

LCM(320/685, 319/499, 354/818) = 18068160

LCM of 320/685, 319/499, 354/818

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 320/685,319/499,354/818

Given numbers are 320/685,319/499,354/818

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 320,319,354

Least Common Multiple of Numerators i.e. LCM of 320,319,354 is 18068160.

GCF of Denominators means GCF of 685,499,818 as per the given fractions.

GCF of 685,499,818 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,319,354

LCM of Fractions 320/685,319/499,354/818 is 18068160

2 320, 319, 354
160, 319, 177

∴ So the LCM of the given numbers is 2 x 160 x 319 x 177 = 18068160

Least Common Multiple of 320,319,354 with GCF Formula

Least Common Multiple of 320,319,354 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 320,319,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,319,354) = 1

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

GCF(320,319,354) x common factors =1 x 2 = 2

LCM(320,319,354) = ( 320 × 319 × 354 ) / 2

LCM(320,319,354) = 36136320 / 2

LCM(320,319,354) = 18068160


Lets's calculate GCF of 685,499,818

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18068160/1

Therefore the LCM of Fractions 320/685,319/499,354/818 is 18068160

Greatest Common Factor of 685,499,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,499,818 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 685,499,818 . The biggest common factor number is the GCF number.
So the greatest common factor 685,499,818 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 320/685, 319/499, 354/818

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 320/685, 319/499, 354/818?

Answer: LCM of Numerators as per given numbers 320/685, 319/499, 354/818 is

LCM of Numerators i.e. for 320,319,354 is 18068160

GCF of denominators i.e. for 685,499,818 is 1.

Thus, LCM of Fractions is 18068160.Finally, LCM of Fractions for 320/685, 319/499, 354/818 is 18068160.