Least Common Multiple of 408/96, 184/97, 204/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/96, 184/97, 204/918 quickly i.e. 9384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/96, 184/97, 204/918 is 9384.

LCM(408/96, 184/97, 204/918) = 9384

LCM of 408/96, 184/97, 204/918

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 408/96,184/97,204/918

Given numbers are 408/96,184/97,204/918

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 408,184,204

Least Common Multiple of Numerators i.e. LCM of 408,184,204 is 9384.

GCF of Denominators means GCF of 96,97,918 as per the given fractions.

GCF of 96,97,918 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,184,204

LCM of Fractions 408/96,184/97,204/918 is 9384

2 408, 184, 204
2 204, 92, 102
2 51, 46, 102
3 51, 23, 51
17 17, 23, 17
1, 23, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 1 x 23 x 1 = 9384

Least Common Multiple of 408,184,204 with GCF Formula

Least Common Multiple of 408,184,204 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 408,184,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,184,204) = 4

common factors(in case of two or more numbers have common factors) = 408

GCF(408,184,204) x common factors =4 x 408 = 1632

LCM(408,184,204) = ( 408 × 184 × 204 ) / 1632

LCM(408,184,204) = 15314688 / 1632

LCM(408,184,204) = 9384


Lets's calculate GCF of 96,97,918

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9384/1

Therefore the LCM of Fractions 408/96,184/97,204/918 is 9384

Greatest Common Factor of 96,97,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,97,918 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 96,97,918 . The biggest common factor number is the GCF number.
So the greatest common factor 96,97,918 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 408/96, 184/97, 204/918

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 408/96, 184/97, 204/918?

Answer: LCM of Numerators as per given numbers 408/96, 184/97, 204/918 is

LCM of Numerators i.e. for 408,184,204 is 9384

GCF of denominators i.e. for 96,97,918 is 1.

Thus, LCM of Fractions is 9384.Finally, LCM of Fractions for 408/96, 184/97, 204/918 is 9384.