Least Common Multiple of 532/900, 8999/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 532/900, 8999/225 quickly i.e. 4787468/225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 532/900, 8999/225 is 4787468/225.

LCM(532/900, 8999/225) = 4787468/225

LCM of 532/900, 8999/225

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 532/900,8999/225

Given numbers are 532/900,8999/225

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 532,8999

Least Common Multiple of Numerators i.e. LCM of 532,8999 is 4787468.

GCF of Denominators means GCF of 900,225 as per the given fractions.

GCF of 900,225 is 225 as it is the largest common factor for these numbers.

Lets's calculate LCM of 532,8999

LCM of Fractions 532/900,8999/225 is 4787468/225

Given numbers has no common factors except 1. So, there LCM is their product i.e 4787468

Least Common Multiple of 532,8999 with GCF Formula

Least Common Multiple of 532,8999 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 532,8999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,8999) = 1

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

GCF(532,8999) x common factors =1 x 1 = 1

LCM(532,8999) = ( 532 × 8999 ) / 1

LCM(532,8999) = 4787468 / 1

LCM(532,8999) = 4787468


Lets's calculate GCF of 900,225

3 900, 225
3 300, 75
5 100, 25
5 20, 5
4, 1

∴ So the GCF of the given numbers is 3 x 3 x 5 x 5 = 225

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4787468/225

Therefore the LCM of Fractions 532/900,8999/225 is 4787468/225

Greatest Common Factor of 900,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,225 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

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 900,225 . The biggest common factor number is the GCF number.
So the greatest common factor 900,225 is 225.


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 532/900, 8999/225

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 532/900, 8999/225?

Answer: LCM of Numerators as per given numbers 532/900, 8999/225 is

LCM of Numerators i.e. for 532,8999 is 4787468

GCF of denominators i.e. for 900,225 is 225.

Thus, LCM of Fractions is 4787468/225.Finally, LCM of Fractions for 532/900, 8999/225 is 4787468/225.