Least Common Multiple of 17/513, 35/135, 176/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/513, 35/135, 176/608 quickly i.e. 104720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/513, 35/135, 176/608 is 104720.

LCM(17/513, 35/135, 176/608) = 104720

LCM of 17/513, 35/135, 176/608

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 17/513,35/135,176/608

Given numbers are 17/513,35/135,176/608

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 17,35,176

Least Common Multiple of Numerators i.e. LCM of 17,35,176 is 104720.

GCF of Denominators means GCF of 513,135,608 as per the given fractions.

GCF of 513,135,608 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,35,176

LCM of Fractions 17/513,35/135,176/608 is 104720

Given numbers has no common factors except 1. So, there LCM is their product i.e 104720

Least Common Multiple of 17,35,176 with GCF Formula

Least Common Multiple of 17,35,176 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 17,35,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,35,176) = 1

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

GCF(17,35,176) x common factors =1 x 1 = 1

LCM(17,35,176) = ( 17 × 35 × 176 ) / 1

LCM(17,35,176) = 104720 / 1

LCM(17,35,176) = 104720


Lets's calculate GCF of 513,135,608

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104720/1

Therefore the LCM of Fractions 17/513,35/135,176/608 is 104720

Greatest Common Factor of 513,135,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,135,608 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 513,135,608 . The biggest common factor number is the GCF number.
So the greatest common factor 513,135,608 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 17/513, 35/135, 176/608

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 17/513, 35/135, 176/608?

Answer: LCM of Numerators as per given numbers 17/513, 35/135, 176/608 is

LCM of Numerators i.e. for 17,35,176 is 104720

GCF of denominators i.e. for 513,135,608 is 1.

Thus, LCM of Fractions is 104720.Finally, LCM of Fractions for 17/513, 35/135, 176/608 is 104720.