Least Common Multiple of 143/55, 228/4519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 143/55, 228/4519 quickly i.e. 32604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 143/55, 228/4519 is 32604.

LCM(143/55, 228/4519) = 32604

LCM of 143/55, 228/4519

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 143/55,228/4519

Given numbers are 143/55,228/4519

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 143,228

Least Common Multiple of Numerators i.e. LCM of 143,228 is 32604.

GCF of Denominators means GCF of 55,4519 as per the given fractions.

GCF of 55,4519 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 143,228

LCM of Fractions 143/55,228/4519 is 32604

Given numbers has no common factors except 1. So, there LCM is their product i.e 32604

Least Common Multiple of 143,228 with GCF Formula

Least Common Multiple of 143,228 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 143,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,228) = 1

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

GCF(143,228) x common factors =1 x 1 = 1

LCM(143,228) = ( 143 × 228 ) / 1

LCM(143,228) = 32604 / 1

LCM(143,228) = 32604


Lets's calculate GCF of 55,4519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32604/1

Therefore the LCM of Fractions 143/55,228/4519 is 32604

Greatest Common Factor of 55,4519 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,4519 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 4519

List of positive integer factors of 4519 that divides 4519 without a remainder.

1,4519

Greatest Common Factor

We found the factors 55,4519 . The biggest common factor number is the GCF number.
So the greatest common factor 55,4519 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 143/55, 228/4519

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 143/55, 228/4519?

Answer: LCM of Numerators as per given numbers 143/55, 228/4519 is

LCM of Numerators i.e. for 143,228 is 32604

GCF of denominators i.e. for 55,4519 is 1.

Thus, LCM of Fractions is 32604.Finally, LCM of Fractions for 143/55, 228/4519 is 32604.