Least Common Multiple of 17/689, 46/418, 752/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/689, 46/418, 752/915 quickly i.e. 294032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/689, 46/418, 752/915 is 294032.

LCM(17/689, 46/418, 752/915) = 294032

LCM of 17/689, 46/418, 752/915

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 17/689,46/418,752/915

Given numbers are 17/689,46/418,752/915

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 17,46,752

Least Common Multiple of Numerators i.e. LCM of 17,46,752 is 294032.

GCF of Denominators means GCF of 689,418,915 as per the given fractions.

GCF of 689,418,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,46,752

LCM of Fractions 17/689,46/418,752/915 is 294032

2 17, 46, 752
17, 23, 376

∴ So the LCM of the given numbers is 2 x 17 x 23 x 376 = 294032

Least Common Multiple of 17,46,752 with GCF Formula

Least Common Multiple of 17,46,752 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 17,46,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,46,752) = 1

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

GCF(17,46,752) x common factors =1 x 2 = 2

LCM(17,46,752) = ( 17 × 46 × 752 ) / 2

LCM(17,46,752) = 588064 / 2

LCM(17,46,752) = 294032


Lets's calculate GCF of 689,418,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294032/1

Therefore the LCM of Fractions 17/689,46/418,752/915 is 294032

Greatest Common Factor of 689,418,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,418,915 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 689,418,915 . The biggest common factor number is the GCF number.
So the greatest common factor 689,418,915 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 17/689, 46/418, 752/915

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 17/689, 46/418, 752/915?

Answer: LCM of Numerators as per given numbers 17/689, 46/418, 752/915 is

LCM of Numerators i.e. for 17,46,752 is 294032

GCF of denominators i.e. for 689,418,915 is 1.

Thus, LCM of Fractions is 294032.Finally, LCM of Fractions for 17/689, 46/418, 752/915 is 294032.