Least Common Multiple of 15/502, 16/242, 173/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/502, 16/242, 173/322 quickly i.e. 20760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/502, 16/242, 173/322 is 20760.

LCM(15/502, 16/242, 173/322) = 20760

LCM of 15/502, 16/242, 173/322

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 15/502,16/242,173/322

Given numbers are 15/502,16/242,173/322

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 15,16,173

Least Common Multiple of Numerators i.e. LCM of 15,16,173 is 41520.

GCF of Denominators means GCF of 502,242,322 as per the given fractions.

GCF of 502,242,322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,16,173

LCM of Fractions 15/502,16/242,173/322 is 20760

Given numbers has no common factors except 1. So, there LCM is their product i.e 41520

Least Common Multiple of 15,16,173 with GCF Formula

Least Common Multiple of 15,16,173 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 15,16,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,16,173) = 1

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

GCF(15,16,173) x common factors =1 x 1 = 1

LCM(15,16,173) = ( 15 × 16 × 173 ) / 1

LCM(15,16,173) = 41520 / 1

LCM(15,16,173) = 41520


Lets's calculate GCF of 502,242,322

2 502, 242, 322
251, 121, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41520/2

Therefore the LCM of Fractions 15/502,16/242,173/322 is 20760

Greatest Common Factor of 502,242,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,242,322 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 502,242,322 . The biggest common factor number is the GCF number.
So the greatest common factor 502,242,322 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 15/502, 16/242, 173/322

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 15/502, 16/242, 173/322?

Answer: LCM of Numerators as per given numbers 15/502, 16/242, 173/322 is

LCM of Numerators i.e. for 15,16,173 is 41520

GCF of denominators i.e. for 502,242,322 is 2.

Thus, LCM of Fractions is 20760.Finally, LCM of Fractions for 15/502, 16/242, 173/322 is 20760.