Least Common Multiple of 17/195, 183/897, 687/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/195, 183/897, 687/176 quickly i.e. 712419 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/195, 183/897, 687/176 is 712419.

LCM(17/195, 183/897, 687/176) = 712419

LCM of 17/195, 183/897, 687/176

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 17/195,183/897,687/176

Given numbers are 17/195,183/897,687/176

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 17,183,687

Least Common Multiple of Numerators i.e. LCM of 17,183,687 is 712419.

GCF of Denominators means GCF of 195,897,176 as per the given fractions.

GCF of 195,897,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,183,687

LCM of Fractions 17/195,183/897,687/176 is 712419

3 17, 183, 687
17, 61, 229

∴ So the LCM of the given numbers is 3 x 17 x 61 x 229 = 712419

Least Common Multiple of 17,183,687 with GCF Formula

Least Common Multiple of 17,183,687 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 17,183,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,183,687) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(17,183,687) x common factors =1 x 3 = 3

LCM(17,183,687) = ( 17 × 183 × 687 ) / 3

LCM(17,183,687) = 2137257 / 3

LCM(17,183,687) = 712419


Lets's calculate GCF of 195,897,176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 712419/1

Therefore the LCM of Fractions 17/195,183/897,687/176 is 712419

Greatest Common Factor of 195,897,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,897,176 By Matching Biggest Common Factor Method

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 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 195,897,176 . The biggest common factor number is the GCF number.
So the greatest common factor 195,897,176 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 17/195, 183/897, 687/176

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 17/195, 183/897, 687/176?

Answer: LCM of Numerators as per given numbers 17/195, 183/897, 687/176 is

LCM of Numerators i.e. for 17,183,687 is 712419

GCF of denominators i.e. for 195,897,176 is 1.

Thus, LCM of Fractions is 712419.Finally, LCM of Fractions for 17/195, 183/897, 687/176 is 712419.