Least Common Multiple of 17/215, 30/583, 673/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/215, 30/583, 673/819 quickly i.e. 343230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/215, 30/583, 673/819 is 343230.

LCM(17/215, 30/583, 673/819) = 343230

LCM of 17/215, 30/583, 673/819

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 17/215,30/583,673/819

Given numbers are 17/215,30/583,673/819

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 17,30,673

Least Common Multiple of Numerators i.e. LCM of 17,30,673 is 343230.

GCF of Denominators means GCF of 215,583,819 as per the given fractions.

GCF of 215,583,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,30,673

LCM of Fractions 17/215,30/583,673/819 is 343230

Given numbers has no common factors except 1. So, there LCM is their product i.e 343230

Least Common Multiple of 17,30,673 with GCF Formula

Least Common Multiple of 17,30,673 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 17,30,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,30,673) = 1

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

GCF(17,30,673) x common factors =1 x 1 = 1

LCM(17,30,673) = ( 17 × 30 × 673 ) / 1

LCM(17,30,673) = 343230 / 1

LCM(17,30,673) = 343230


Lets's calculate GCF of 215,583,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343230/1

Therefore the LCM of Fractions 17/215,30/583,673/819 is 343230

Greatest Common Factor of 215,583,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,583,819 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 215,583,819 . The biggest common factor number is the GCF number.
So the greatest common factor 215,583,819 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 17/215, 30/583, 673/819

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 17/215, 30/583, 673/819?

Answer: LCM of Numerators as per given numbers 17/215, 30/583, 673/819 is

LCM of Numerators i.e. for 17,30,673 is 343230

GCF of denominators i.e. for 215,583,819 is 1.

Thus, LCM of Fractions is 343230.Finally, LCM of Fractions for 17/215, 30/583, 673/819 is 343230.