Least Common Multiple of 17/605, 514/165, 532/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/605, 514/165, 532/670 quickly i.e. 2324308/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/605, 514/165, 532/670 is 2324308/5.

LCM(17/605, 514/165, 532/670) = 2324308/5

LCM of 17/605, 514/165, 532/670

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 17/605,514/165,532/670

Given numbers are 17/605,514/165,532/670

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 17,514,532

Least Common Multiple of Numerators i.e. LCM of 17,514,532 is 2324308.

GCF of Denominators means GCF of 605,165,670 as per the given fractions.

GCF of 605,165,670 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,514,532

LCM of Fractions 17/605,514/165,532/670 is 2324308/5

2 17, 514, 532
17, 257, 266

∴ So the LCM of the given numbers is 2 x 17 x 257 x 266 = 2324308

Least Common Multiple of 17,514,532 with GCF Formula

Least Common Multiple of 17,514,532 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 17,514,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,514,532) = 1

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

GCF(17,514,532) x common factors =1 x 2 = 2

LCM(17,514,532) = ( 17 × 514 × 532 ) / 2

LCM(17,514,532) = 4648616 / 2

LCM(17,514,532) = 2324308


Lets's calculate GCF of 605,165,670

5 605, 165, 670
121, 33, 134

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2324308/5

Therefore the LCM of Fractions 17/605,514/165,532/670 is 2324308/5

Greatest Common Factor of 605,165,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,165,670 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 605,165,670 . The biggest common factor number is the GCF number.
So the greatest common factor 605,165,670 is 5.


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 17/605, 514/165, 532/670

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 17/605, 514/165, 532/670?

Answer: LCM of Numerators as per given numbers 17/605, 514/165, 532/670 is

LCM of Numerators i.e. for 17,514,532 is 2324308

GCF of denominators i.e. for 605,165,670 is 5.

Thus, LCM of Fractions is 2324308/5.Finally, LCM of Fractions for 17/605, 514/165, 532/670 is 2324308/5.