Least Common Multiple of 323/32, 864/1225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/32, 864/1225 quickly i.e. 279072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/32, 864/1225 is 279072.

LCM(323/32, 864/1225) = 279072

LCM of 323/32, 864/1225

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 323/32,864/1225

Given numbers are 323/32,864/1225

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 323,864

Least Common Multiple of Numerators i.e. LCM of 323,864 is 279072.

GCF of Denominators means GCF of 32,1225 as per the given fractions.

GCF of 32,1225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,864

LCM of Fractions 323/32,864/1225 is 279072

Given numbers has no common factors except 1. So, there LCM is their product i.e 279072

Least Common Multiple of 323,864 with GCF Formula

Least Common Multiple of 323,864 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 323,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,864) = 1

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

GCF(323,864) x common factors =1 x 1 = 1

LCM(323,864) = ( 323 × 864 ) / 1

LCM(323,864) = 279072 / 1

LCM(323,864) = 279072


Lets's calculate GCF of 32,1225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279072/1

Therefore the LCM of Fractions 323/32,864/1225 is 279072

Greatest Common Factor of 32,1225 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,1225 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 1225

List of positive integer factors of 1225 that divides 1225 without a remainder.

1,5,7,25,35,49,175,245,1225

Greatest Common Factor

We found the factors 32,1225 . The biggest common factor number is the GCF number.
So the greatest common factor 32,1225 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 323/32, 864/1225

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 323/32, 864/1225?

Answer: LCM of Numerators as per given numbers 323/32, 864/1225 is

LCM of Numerators i.e. for 323,864 is 279072

GCF of denominators i.e. for 32,1225 is 1.

Thus, LCM of Fractions is 279072.Finally, LCM of Fractions for 323/32, 864/1225 is 279072.