Least Common Multiple of 15/167, 9519/8395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/167, 9519/8395 quickly i.e. 47595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/167, 9519/8395 is 47595.

LCM(15/167, 9519/8395) = 47595

LCM of 15/167, 9519/8395

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 15/167,9519/8395

Given numbers are 15/167,9519/8395

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 15,9519

Least Common Multiple of Numerators i.e. LCM of 15,9519 is 47595.

GCF of Denominators means GCF of 167,8395 as per the given fractions.

GCF of 167,8395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,9519

LCM of Fractions 15/167,9519/8395 is 47595

3 15, 9519
5, 3173

∴ So the LCM of the given numbers is 3 x 5 x 3173 = 47595

Least Common Multiple of 15,9519 with GCF Formula

Least Common Multiple of 15,9519 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 15,9519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,9519) = 3

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

GCF(15,9519) x common factors =3 x 1 = 3

LCM(15,9519) = ( 15 × 9519 ) / 3

LCM(15,9519) = 142785 / 3

LCM(15,9519) = 47595


Lets's calculate GCF of 167,8395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47595/1

Therefore the LCM of Fractions 15/167,9519/8395 is 47595

Greatest Common Factor of 167,8395 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,8395 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 8395

List of positive integer factors of 8395 that divides 8395 without a remainder.

1,5,23,73,115,365,1679,8395

Greatest Common Factor

We found the factors 167,8395 . The biggest common factor number is the GCF number.
So the greatest common factor 167,8395 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 15/167, 9519/8395

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 15/167, 9519/8395?

Answer: LCM of Numerators as per given numbers 15/167, 9519/8395 is

LCM of Numerators i.e. for 15,9519 is 47595

GCF of denominators i.e. for 167,8395 is 1.

Thus, LCM of Fractions is 47595.Finally, LCM of Fractions for 15/167, 9519/8395 is 47595.