Least Common Multiple of 271/178, 881/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 271/178, 881/511 quickly i.e. 238751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 271/178, 881/511 is 238751.

LCM(271/178, 881/511) = 238751

LCM of 271/178, 881/511

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 271/178,881/511

Given numbers are 271/178,881/511

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 271,881

Least Common Multiple of Numerators i.e. LCM of 271,881 is 238751.

GCF of Denominators means GCF of 178,511 as per the given fractions.

GCF of 178,511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 271,881

LCM of Fractions 271/178,881/511 is 238751

Given numbers has no common factors except 1. So, there LCM is their product i.e 238751

Least Common Multiple of 271,881 with GCF Formula

Least Common Multiple of 271,881 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 271,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,881) = 1

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

GCF(271,881) x common factors =1 x 1 = 1

LCM(271,881) = ( 271 × 881 ) / 1

LCM(271,881) = 238751 / 1

LCM(271,881) = 238751


Lets's calculate GCF of 178,511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238751/1

Therefore the LCM of Fractions 271/178,881/511 is 238751

Greatest Common Factor of 178,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,511 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 178,511 . The biggest common factor number is the GCF number.
So the greatest common factor 178,511 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 271/178, 881/511

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 271/178, 881/511?

Answer: LCM of Numerators as per given numbers 271/178, 881/511 is

LCM of Numerators i.e. for 271,881 is 238751

GCF of denominators i.e. for 178,511 is 1.

Thus, LCM of Fractions is 238751.Finally, LCM of Fractions for 271/178, 881/511 is 238751.