Least Common Multiple of 83/408, 6732/9804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/408, 6732/9804 quickly i.e. 46563 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/408, 6732/9804 is 46563.

LCM(83/408, 6732/9804) = 46563

LCM of 83/408, 6732/9804

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 83/408,6732/9804

Given numbers are 83/408,6732/9804

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 83,6732

Least Common Multiple of Numerators i.e. LCM of 83,6732 is 558756.

GCF of Denominators means GCF of 408,9804 as per the given fractions.

GCF of 408,9804 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,6732

LCM of Fractions 83/408,6732/9804 is 46563

Given numbers has no common factors except 1. So, there LCM is their product i.e 558756

Least Common Multiple of 83,6732 with GCF Formula

Least Common Multiple of 83,6732 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 83,6732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,6732) = 1

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

GCF(83,6732) x common factors =1 x 1 = 1

LCM(83,6732) = ( 83 × 6732 ) / 1

LCM(83,6732) = 558756 / 1

LCM(83,6732) = 558756


Lets's calculate GCF of 408,9804

2 408, 9804
2 204, 4902
3 102, 2451
34, 817

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 558756/12

Therefore the LCM of Fractions 83/408,6732/9804 is 46563

Greatest Common Factor of 408,9804 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,9804 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 9804

List of positive integer factors of 9804 that divides 9804 without a remainder.

1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804

Greatest Common Factor

We found the factors 408,9804 . The biggest common factor number is the GCF number.
So the greatest common factor 408,9804 is 12.


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 83/408, 6732/9804

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 83/408, 6732/9804?

Answer: LCM of Numerators as per given numbers 83/408, 6732/9804 is

LCM of Numerators i.e. for 83,6732 is 558756

GCF of denominators i.e. for 408,9804 is 12.

Thus, LCM of Fractions is 46563.Finally, LCM of Fractions for 83/408, 6732/9804 is 46563.