Least Common Multiple of 23/271, 89/263, 519/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/271, 89/263, 519/548 quickly i.e. 1062393 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/271, 89/263, 519/548 is 1062393.

LCM(23/271, 89/263, 519/548) = 1062393

LCM of 23/271, 89/263, 519/548

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 23/271,89/263,519/548

Given numbers are 23/271,89/263,519/548

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 23,89,519

Least Common Multiple of Numerators i.e. LCM of 23,89,519 is 1062393.

GCF of Denominators means GCF of 271,263,548 as per the given fractions.

GCF of 271,263,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,89,519

LCM of Fractions 23/271,89/263,519/548 is 1062393

Given numbers has no common factors except 1. So, there LCM is their product i.e 1062393

Least Common Multiple of 23,89,519 with GCF Formula

Least Common Multiple of 23,89,519 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 23,89,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,89,519) = 1

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

GCF(23,89,519) x common factors =1 x 1 = 1

LCM(23,89,519) = ( 23 × 89 × 519 ) / 1

LCM(23,89,519) = 1062393 / 1

LCM(23,89,519) = 1062393


Lets's calculate GCF of 271,263,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1062393/1

Therefore the LCM of Fractions 23/271,89/263,519/548 is 1062393

Greatest Common Factor of 271,263,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,263,548 By Matching Biggest Common Factor Method

Factors of 271

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

1,271

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 271,263,548 . The biggest common factor number is the GCF number.
So the greatest common factor 271,263,548 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 23/271, 89/263, 519/548

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 23/271, 89/263, 519/548?

Answer: LCM of Numerators as per given numbers 23/271, 89/263, 519/548 is

LCM of Numerators i.e. for 23,89,519 is 1062393

GCF of denominators i.e. for 271,263,548 is 1.

Thus, LCM of Fractions is 1062393.Finally, LCM of Fractions for 23/271, 89/263, 519/548 is 1062393.