Least Common Multiple of 17/718, 13/796, 512/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/718, 13/796, 512/558 quickly i.e. 56576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/718, 13/796, 512/558 is 56576.

LCM(17/718, 13/796, 512/558) = 56576

LCM of 17/718, 13/796, 512/558

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 17/718,13/796,512/558

Given numbers are 17/718,13/796,512/558

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 17,13,512

Least Common Multiple of Numerators i.e. LCM of 17,13,512 is 113152.

GCF of Denominators means GCF of 718,796,558 as per the given fractions.

GCF of 718,796,558 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,13,512

LCM of Fractions 17/718,13/796,512/558 is 56576

Given numbers has no common factors except 1. So, there LCM is their product i.e 113152

Least Common Multiple of 17,13,512 with GCF Formula

Least Common Multiple of 17,13,512 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 17,13,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,13,512) = 1

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

GCF(17,13,512) x common factors =1 x 1 = 1

LCM(17,13,512) = ( 17 × 13 × 512 ) / 1

LCM(17,13,512) = 113152 / 1

LCM(17,13,512) = 113152


Lets's calculate GCF of 718,796,558

2 718, 796, 558
359, 398, 279

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113152/2

Therefore the LCM of Fractions 17/718,13/796,512/558 is 56576

Greatest Common Factor of 718,796,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,796,558 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 718,796,558 . The biggest common factor number is the GCF number.
So the greatest common factor 718,796,558 is 2.


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 17/718, 13/796, 512/558

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 17/718, 13/796, 512/558?

Answer: LCM of Numerators as per given numbers 17/718, 13/796, 512/558 is

LCM of Numerators i.e. for 17,13,512 is 113152

GCF of denominators i.e. for 718,796,558 is 2.

Thus, LCM of Fractions is 56576.Finally, LCM of Fractions for 17/718, 13/796, 512/558 is 56576.