Least Common Multiple of 227/72, 221/3029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 227/72, 221/3029 quickly i.e. 50167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 227/72, 221/3029 is 50167.

LCM(227/72, 221/3029) = 50167

LCM of 227/72, 221/3029

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 227/72,221/3029

Given numbers are 227/72,221/3029

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 227,221

Least Common Multiple of Numerators i.e. LCM of 227,221 is 50167.

GCF of Denominators means GCF of 72,3029 as per the given fractions.

GCF of 72,3029 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 227,221

LCM of Fractions 227/72,221/3029 is 50167

Given numbers has no common factors except 1. So, there LCM is their product i.e 50167

Least Common Multiple of 227,221 with GCF Formula

Least Common Multiple of 227,221 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 227,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,221) = 1

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

GCF(227,221) x common factors =1 x 1 = 1

LCM(227,221) = ( 227 × 221 ) / 1

LCM(227,221) = 50167 / 1

LCM(227,221) = 50167


Lets's calculate GCF of 72,3029

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50167/1

Therefore the LCM of Fractions 227/72,221/3029 is 50167

Greatest Common Factor of 72,3029 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,3029 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 3029

List of positive integer factors of 3029 that divides 3029 without a remainder.

1,13,233,3029

Greatest Common Factor

We found the factors 72,3029 . The biggest common factor number is the GCF number.
So the greatest common factor 72,3029 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 227/72, 221/3029

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 227/72, 221/3029?

Answer: LCM of Numerators as per given numbers 227/72, 221/3029 is

LCM of Numerators i.e. for 227,221 is 50167

GCF of denominators i.e. for 72,3029 is 1.

Thus, LCM of Fractions is 50167.Finally, LCM of Fractions for 227/72, 221/3029 is 50167.