Least Common Multiple of 163/84, 205/5171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 163/84, 205/5171 quickly i.e. 33415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 163/84, 205/5171 is 33415.

LCM(163/84, 205/5171) = 33415

LCM of 163/84, 205/5171

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 163/84,205/5171

Given numbers are 163/84,205/5171

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 163,205

Least Common Multiple of Numerators i.e. LCM of 163,205 is 33415.

GCF of Denominators means GCF of 84,5171 as per the given fractions.

GCF of 84,5171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 163,205

LCM of Fractions 163/84,205/5171 is 33415

Given numbers has no common factors except 1. So, there LCM is their product i.e 33415

Least Common Multiple of 163,205 with GCF Formula

Least Common Multiple of 163,205 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 163,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,205) = 1

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

GCF(163,205) x common factors =1 x 1 = 1

LCM(163,205) = ( 163 × 205 ) / 1

LCM(163,205) = 33415 / 1

LCM(163,205) = 33415


Lets's calculate GCF of 84,5171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33415/1

Therefore the LCM of Fractions 163/84,205/5171 is 33415

Greatest Common Factor of 84,5171 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,5171 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 5171

List of positive integer factors of 5171 that divides 5171 without a remainder.

1,5171

Greatest Common Factor

We found the factors 84,5171 . The biggest common factor number is the GCF number.
So the greatest common factor 84,5171 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 163/84, 205/5171

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 163/84, 205/5171?

Answer: LCM of Numerators as per given numbers 163/84, 205/5171 is

LCM of Numerators i.e. for 163,205 is 33415

GCF of denominators i.e. for 84,5171 is 1.

Thus, LCM of Fractions is 33415.Finally, LCM of Fractions for 163/84, 205/5171 is 33415.