Least Common Multiple of 3204/83, 6732/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3204/83, 6732/810 quickly i.e. 599148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3204/83, 6732/810 is 599148.

LCM(3204/83, 6732/810) = 599148

LCM of 3204/83, 6732/810

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 3204/83,6732/810

Given numbers are 3204/83,6732/810

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 3204,6732

Least Common Multiple of Numerators i.e. LCM of 3204,6732 is 599148.

GCF of Denominators means GCF of 83,810 as per the given fractions.

GCF of 83,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3204,6732

LCM of Fractions 3204/83,6732/810 is 599148

2 3204, 6732
2 1602, 3366
3 801, 1683
3 267, 561
89, 187

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 89 x 187 = 599148

Least Common Multiple of 3204,6732 with GCF Formula

Least Common Multiple of 3204,6732 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 3204,6732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3204,6732) = 36

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

GCF(3204,6732) x common factors =36 x 1 = 36

LCM(3204,6732) = ( 3204 × 6732 ) / 36

LCM(3204,6732) = 21569328 / 36

LCM(3204,6732) = 599148


Lets's calculate GCF of 83,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 599148/1

Therefore the LCM of Fractions 3204/83,6732/810 is 599148

Greatest Common Factor of 83,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,810 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 83,810 . The biggest common factor number is the GCF number.
So the greatest common factor 83,810 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 3204/83, 6732/810

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 3204/83, 6732/810?

Answer: LCM of Numerators as per given numbers 3204/83, 6732/810 is

LCM of Numerators i.e. for 3204,6732 is 599148

GCF of denominators i.e. for 83,810 is 1.

Thus, LCM of Fractions is 599148.Finally, LCM of Fractions for 3204/83, 6732/810 is 599148.