Least Common Multiple of 15/386, 69/360, 499/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/386, 69/360, 499/168 quickly i.e. 172155/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/386, 69/360, 499/168 is 172155/2.

LCM(15/386, 69/360, 499/168) = 172155/2

LCM of 15/386, 69/360, 499/168

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 15/386,69/360,499/168

Given numbers are 15/386,69/360,499/168

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 15,69,499

Least Common Multiple of Numerators i.e. LCM of 15,69,499 is 172155.

GCF of Denominators means GCF of 386,360,168 as per the given fractions.

GCF of 386,360,168 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,69,499

LCM of Fractions 15/386,69/360,499/168 is 172155/2

3 15, 69, 499
5, 23, 499

∴ So the LCM of the given numbers is 3 x 5 x 23 x 499 = 172155

Least Common Multiple of 15,69,499 with GCF Formula

Least Common Multiple of 15,69,499 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 15,69,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,69,499) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,69,499) x common factors =1 x 3 = 3

LCM(15,69,499) = ( 15 × 69 × 499 ) / 3

LCM(15,69,499) = 516465 / 3

LCM(15,69,499) = 172155


Lets's calculate GCF of 386,360,168

2 386, 360, 168
193, 180, 84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172155/2

Therefore the LCM of Fractions 15/386,69/360,499/168 is 172155/2

Greatest Common Factor of 386,360,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,360,168 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 386,360,168 . The biggest common factor number is the GCF number.
So the greatest common factor 386,360,168 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 15/386, 69/360, 499/168

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 15/386, 69/360, 499/168?

Answer: LCM of Numerators as per given numbers 15/386, 69/360, 499/168 is

LCM of Numerators i.e. for 15,69,499 is 172155

GCF of denominators i.e. for 386,360,168 is 2.

Thus, LCM of Fractions is 172155/2.Finally, LCM of Fractions for 15/386, 69/360, 499/168 is 172155/2.