Least Common Multiple of 83/566, 3204/9504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/566, 3204/9504 quickly i.e. 132966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/566, 3204/9504 is 132966.

LCM(83/566, 3204/9504) = 132966

LCM of 83/566, 3204/9504

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 83/566,3204/9504

Given numbers are 83/566,3204/9504

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 83,3204

Least Common Multiple of Numerators i.e. LCM of 83,3204 is 265932.

GCF of Denominators means GCF of 566,9504 as per the given fractions.

GCF of 566,9504 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,3204

LCM of Fractions 83/566,3204/9504 is 132966

Given numbers has no common factors except 1. So, there LCM is their product i.e 265932

Least Common Multiple of 83,3204 with GCF Formula

Least Common Multiple of 83,3204 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 83,3204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,3204) = 1

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

GCF(83,3204) x common factors =1 x 1 = 1

LCM(83,3204) = ( 83 × 3204 ) / 1

LCM(83,3204) = 265932 / 1

LCM(83,3204) = 265932


Lets's calculate GCF of 566,9504

2 566, 9504
283, 4752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265932/2

Therefore the LCM of Fractions 83/566,3204/9504 is 132966

Greatest Common Factor of 566,9504 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,9504 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 9504

List of positive integer factors of 9504 that divides 9504 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504

Greatest Common Factor

We found the factors 566,9504 . The biggest common factor number is the GCF number.
So the greatest common factor 566,9504 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 83/566, 3204/9504

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 83/566, 3204/9504?

Answer: LCM of Numerators as per given numbers 83/566, 3204/9504 is

LCM of Numerators i.e. for 83,3204 is 265932

GCF of denominators i.e. for 566,9504 is 2.

Thus, LCM of Fractions is 132966.Finally, LCM of Fractions for 83/566, 3204/9504 is 132966.