Least Common Multiple of 17/523, 985/686, 171/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/523, 985/686, 171/215 quickly i.e. 2863395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/523, 985/686, 171/215 is 2863395.

LCM(17/523, 985/686, 171/215) = 2863395

LCM of 17/523, 985/686, 171/215

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 17/523,985/686,171/215

Given numbers are 17/523,985/686,171/215

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 17,985,171

Least Common Multiple of Numerators i.e. LCM of 17,985,171 is 2863395.

GCF of Denominators means GCF of 523,686,215 as per the given fractions.

GCF of 523,686,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,985,171

LCM of Fractions 17/523,985/686,171/215 is 2863395

Given numbers has no common factors except 1. So, there LCM is their product i.e 2863395

Least Common Multiple of 17,985,171 with GCF Formula

Least Common Multiple of 17,985,171 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 17,985,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,985,171) = 1

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

GCF(17,985,171) x common factors =1 x 1 = 1

LCM(17,985,171) = ( 17 × 985 × 171 ) / 1

LCM(17,985,171) = 2863395 / 1

LCM(17,985,171) = 2863395


Lets's calculate GCF of 523,686,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2863395/1

Therefore the LCM of Fractions 17/523,985/686,171/215 is 2863395

Greatest Common Factor of 523,686,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,686,215 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 215

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

1,5,43,215

Greatest Common Factor

We found the factors 523,686,215 . The biggest common factor number is the GCF number.
So the greatest common factor 523,686,215 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 17/523, 985/686, 171/215

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 17/523, 985/686, 171/215?

Answer: LCM of Numerators as per given numbers 17/523, 985/686, 171/215 is

LCM of Numerators i.e. for 17,985,171 is 2863395

GCF of denominators i.e. for 523,686,215 is 1.

Thus, LCM of Fractions is 2863395.Finally, LCM of Fractions for 17/523, 985/686, 171/215 is 2863395.