Least Common Multiple of 7271/805, 5667/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7271/805, 5667/225 quickly i.e. 41204757/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7271/805, 5667/225 is 41204757/5.

LCM(7271/805, 5667/225) = 41204757/5

LCM of 7271/805, 5667/225

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 7271/805,5667/225

Given numbers are 7271/805,5667/225

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 7271,5667

Least Common Multiple of Numerators i.e. LCM of 7271,5667 is 41204757.

GCF of Denominators means GCF of 805,225 as per the given fractions.

GCF of 805,225 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7271,5667

LCM of Fractions 7271/805,5667/225 is 41204757/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 41204757

Least Common Multiple of 7271,5667 with GCF Formula

Least Common Multiple of 7271,5667 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 7271,5667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7271,5667) = 1

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

GCF(7271,5667) x common factors =1 x 1 = 1

LCM(7271,5667) = ( 7271 × 5667 ) / 1

LCM(7271,5667) = 41204757 / 1

LCM(7271,5667) = 41204757


Lets's calculate GCF of 805,225

5 805, 225
161, 45

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41204757/5

Therefore the LCM of Fractions 7271/805,5667/225 is 41204757/5

Greatest Common Factor of 805,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,225 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 805,225 . The biggest common factor number is the GCF number.
So the greatest common factor 805,225 is 5.


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 7271/805, 5667/225

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 7271/805, 5667/225?

Answer: LCM of Numerators as per given numbers 7271/805, 5667/225 is

LCM of Numerators i.e. for 7271,5667 is 41204757

GCF of denominators i.e. for 805,225 is 5.

Thus, LCM of Fractions is 41204757/5.Finally, LCM of Fractions for 7271/805, 5667/225 is 41204757/5.