Least Common Multiple of 324/807, 4848/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/807, 4848/324 quickly i.e. 43632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/807, 4848/324 is 43632.

LCM(324/807, 4848/324) = 43632

LCM of 324/807, 4848/324

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 324/807,4848/324

Given numbers are 324/807,4848/324

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 324,4848

Least Common Multiple of Numerators i.e. LCM of 324,4848 is 130896.

GCF of Denominators means GCF of 807,324 as per the given fractions.

GCF of 807,324 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,4848

LCM of Fractions 324/807,4848/324 is 43632

2 324, 4848
2 162, 2424
3 81, 1212
27, 404

∴ So the LCM of the given numbers is 2 x 2 x 3 x 27 x 404 = 130896

Least Common Multiple of 324,4848 with GCF Formula

Least Common Multiple of 324,4848 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 324,4848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,4848) = 12

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

GCF(324,4848) x common factors =12 x 1 = 12

LCM(324,4848) = ( 324 × 4848 ) / 12

LCM(324,4848) = 1570752 / 12

LCM(324,4848) = 130896


Lets's calculate GCF of 807,324

3 807, 324
269, 108

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130896/3

Therefore the LCM of Fractions 324/807,4848/324 is 43632

Greatest Common Factor of 807,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,324 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 807,324 . The biggest common factor number is the GCF number.
So the greatest common factor 807,324 is 3.


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 324/807, 4848/324

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 324/807, 4848/324?

Answer: LCM of Numerators as per given numbers 324/807, 4848/324 is

LCM of Numerators i.e. for 324,4848 is 130896

GCF of denominators i.e. for 807,324 is 3.

Thus, LCM of Fractions is 43632.Finally, LCM of Fractions for 324/807, 4848/324 is 43632.