Least Common Multiple of 447/28, 486/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 447/28, 486/550 quickly i.e. 36207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 447/28, 486/550 is 36207.

LCM(447/28, 486/550) = 36207

LCM of 447/28, 486/550

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 447/28,486/550

Given numbers are 447/28,486/550

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 447,486

Least Common Multiple of Numerators i.e. LCM of 447,486 is 72414.

GCF of Denominators means GCF of 28,550 as per the given fractions.

GCF of 28,550 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 447,486

LCM of Fractions 447/28,486/550 is 36207

3 447, 486
149, 162

∴ So the LCM of the given numbers is 3 x 149 x 162 = 72414

Least Common Multiple of 447,486 with GCF Formula

Least Common Multiple of 447,486 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 447,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,486) = 3

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

GCF(447,486) x common factors =3 x 1 = 3

LCM(447,486) = ( 447 × 486 ) / 3

LCM(447,486) = 217242 / 3

LCM(447,486) = 72414


Lets's calculate GCF of 28,550

2 28, 550
14, 275

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72414/2

Therefore the LCM of Fractions 447/28,486/550 is 36207

Greatest Common Factor of 28,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,550 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 28,550 . The biggest common factor number is the GCF number.
So the greatest common factor 28,550 is 2.


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 447/28, 486/550

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 447/28, 486/550?

Answer: LCM of Numerators as per given numbers 447/28, 486/550 is

LCM of Numerators i.e. for 447,486 is 72414

GCF of denominators i.e. for 28,550 is 2.

Thus, LCM of Fractions is 36207.Finally, LCM of Fractions for 447/28, 486/550 is 36207.