Least Common Multiple of 9871/171, 5381/8119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9871/171, 5381/8119 quickly i.e. 53115851 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9871/171, 5381/8119 is 53115851.

LCM(9871/171, 5381/8119) = 53115851

LCM of 9871/171, 5381/8119

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 9871/171,5381/8119

Given numbers are 9871/171,5381/8119

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 9871,5381

Least Common Multiple of Numerators i.e. LCM of 9871,5381 is 53115851.

GCF of Denominators means GCF of 171,8119 as per the given fractions.

GCF of 171,8119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9871,5381

LCM of Fractions 9871/171,5381/8119 is 53115851

Given numbers has no common factors except 1. So, there LCM is their product i.e 53115851

Least Common Multiple of 9871,5381 with GCF Formula

Least Common Multiple of 9871,5381 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 9871,5381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9871,5381) = 1

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

GCF(9871,5381) x common factors =1 x 1 = 1

LCM(9871,5381) = ( 9871 × 5381 ) / 1

LCM(9871,5381) = 53115851 / 1

LCM(9871,5381) = 53115851


Lets's calculate GCF of 171,8119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53115851/1

Therefore the LCM of Fractions 9871/171,5381/8119 is 53115851

Greatest Common Factor of 171,8119 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,8119 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 8119

List of positive integer factors of 8119 that divides 8119 without a remainder.

1,23,353,8119

Greatest Common Factor

We found the factors 171,8119 . The biggest common factor number is the GCF number.
So the greatest common factor 171,8119 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 9871/171, 5381/8119

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 9871/171, 5381/8119?

Answer: LCM of Numerators as per given numbers 9871/171, 5381/8119 is

LCM of Numerators i.e. for 9871,5381 is 53115851

GCF of denominators i.e. for 171,8119 is 1.

Thus, LCM of Fractions is 53115851.Finally, LCM of Fractions for 9871/171, 5381/8119 is 53115851.