Least Common Multiple of 8533/187, 4461/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8533/187, 4461/271 quickly i.e. 38065713 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8533/187, 4461/271 is 38065713.

LCM(8533/187, 4461/271) = 38065713

LCM of 8533/187, 4461/271

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 8533/187,4461/271

Given numbers are 8533/187,4461/271

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 8533,4461

Least Common Multiple of Numerators i.e. LCM of 8533,4461 is 38065713.

GCF of Denominators means GCF of 187,271 as per the given fractions.

GCF of 187,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8533,4461

LCM of Fractions 8533/187,4461/271 is 38065713

Given numbers has no common factors except 1. So, there LCM is their product i.e 38065713

Least Common Multiple of 8533,4461 with GCF Formula

Least Common Multiple of 8533,4461 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 8533,4461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8533,4461) = 1

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

GCF(8533,4461) x common factors =1 x 1 = 1

LCM(8533,4461) = ( 8533 × 4461 ) / 1

LCM(8533,4461) = 38065713 / 1

LCM(8533,4461) = 38065713


Lets's calculate GCF of 187,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38065713/1

Therefore the LCM of Fractions 8533/187,4461/271 is 38065713

Greatest Common Factor of 187,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,271 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 187,271 . The biggest common factor number is the GCF number.
So the greatest common factor 187,271 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8533/187, 4461/271

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 8533/187, 4461/271?

Answer: LCM of Numerators as per given numbers 8533/187, 4461/271 is

LCM of Numerators i.e. for 8533,4461 is 38065713

GCF of denominators i.e. for 187,271 is 1.

Thus, LCM of Fractions is 38065713.Finally, LCM of Fractions for 8533/187, 4461/271 is 38065713.