Least Common Multiple of 8427/225, 4425/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8427/225, 4425/463 quickly i.e. 12429825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8427/225, 4425/463 is 12429825.

LCM(8427/225, 4425/463) = 12429825

LCM of 8427/225, 4425/463

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 8427/225,4425/463

Given numbers are 8427/225,4425/463

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 8427,4425

Least Common Multiple of Numerators i.e. LCM of 8427,4425 is 12429825.

GCF of Denominators means GCF of 225,463 as per the given fractions.

GCF of 225,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8427,4425

LCM of Fractions 8427/225,4425/463 is 12429825

3 8427, 4425
2809, 1475

∴ So the LCM of the given numbers is 3 x 2809 x 1475 = 12429825

Least Common Multiple of 8427,4425 with GCF Formula

Least Common Multiple of 8427,4425 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 8427,4425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8427,4425) = 3

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

GCF(8427,4425) x common factors =3 x 1 = 3

LCM(8427,4425) = ( 8427 × 4425 ) / 3

LCM(8427,4425) = 37289475 / 3

LCM(8427,4425) = 12429825


Lets's calculate GCF of 225,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12429825/1

Therefore the LCM of Fractions 8427/225,4425/463 is 12429825

Greatest Common Factor of 225,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,463 By Matching Biggest Common Factor Method

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

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 225,463 . The biggest common factor number is the GCF number.
So the greatest common factor 225,463 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 8427/225, 4425/463

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 8427/225, 4425/463?

Answer: LCM of Numerators as per given numbers 8427/225, 4425/463 is

LCM of Numerators i.e. for 8427,4425 is 12429825

GCF of denominators i.e. for 225,463 is 1.

Thus, LCM of Fractions is 12429825.Finally, LCM of Fractions for 8427/225, 4425/463 is 12429825.