Least Common Multiple of 80/321, 85/195, 300/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/321, 85/195, 300/999 quickly i.e. 6800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/321, 85/195, 300/999 is 6800.

LCM(80/321, 85/195, 300/999) = 6800

LCM of 80/321, 85/195, 300/999

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 80/321,85/195,300/999

Given numbers are 80/321,85/195,300/999

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 80,85,300

Least Common Multiple of Numerators i.e. LCM of 80,85,300 is 20400.

GCF of Denominators means GCF of 321,195,999 as per the given fractions.

GCF of 321,195,999 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,85,300

LCM of Fractions 80/321,85/195,300/999 is 6800

2 80, 85, 300
2 40, 85, 150
5 20, 85, 75
4, 17, 15

∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 17 x 15 = 20400

Least Common Multiple of 80,85,300 with GCF Formula

Least Common Multiple of 80,85,300 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 80,85,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,85,300) = 5

common factors(in case of two or more numbers have common factors) = 20

GCF(80,85,300) x common factors =5 x 20 = 100

LCM(80,85,300) = ( 80 × 85 × 300 ) / 100

LCM(80,85,300) = 2040000 / 100

LCM(80,85,300) = 20400


Lets's calculate GCF of 321,195,999

3 321, 195, 999
107, 65, 333

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20400/3

Therefore the LCM of Fractions 80/321,85/195,300/999 is 6800

Greatest Common Factor of 321,195,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,195,999 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 321,195,999 . The biggest common factor number is the GCF number.
So the greatest common factor 321,195,999 is 3.


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 80/321, 85/195, 300/999

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 80/321, 85/195, 300/999?

Answer: LCM of Numerators as per given numbers 80/321, 85/195, 300/999 is

LCM of Numerators i.e. for 80,85,300 is 20400

GCF of denominators i.e. for 321,195,999 is 3.

Thus, LCM of Fractions is 6800.Finally, LCM of Fractions for 80/321, 85/195, 300/999 is 6800.