Least Common Multiple of 998/15, 171/4215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/15, 171/4215 quickly i.e. 170658/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/15, 171/4215 is 170658/15.

LCM(998/15, 171/4215) = 170658/15

LCM of 998/15, 171/4215

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 998/15,171/4215

Given numbers are 998/15,171/4215

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 998,171

Least Common Multiple of Numerators i.e. LCM of 998,171 is 170658.

GCF of Denominators means GCF of 15,4215 as per the given fractions.

GCF of 15,4215 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,171

LCM of Fractions 998/15,171/4215 is 170658/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 170658

Least Common Multiple of 998,171 with GCF Formula

Least Common Multiple of 998,171 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 998,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,171) = 1

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

GCF(998,171) x common factors =1 x 1 = 1

LCM(998,171) = ( 998 × 171 ) / 1

LCM(998,171) = 170658 / 1

LCM(998,171) = 170658


Lets's calculate GCF of 15,4215

3 15, 4215
5 5, 1405
1, 281

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170658/15

Therefore the LCM of Fractions 998/15,171/4215 is 170658/15

Greatest Common Factor of 15,4215 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,4215 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 4215

List of positive integer factors of 4215 that divides 4215 without a remainder.

1,3,5,15,281,843,1405,4215

Greatest Common Factor

We found the factors 15,4215 . The biggest common factor number is the GCF number.
So the greatest common factor 15,4215 is 15.


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 998/15, 171/4215

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 998/15, 171/4215?

Answer: LCM of Numerators as per given numbers 998/15, 171/4215 is

LCM of Numerators i.e. for 998,171 is 170658

GCF of denominators i.e. for 15,4215 is 15.

Thus, LCM of Fractions is 170658/15.Finally, LCM of Fractions for 998/15, 171/4215 is 170658/15.