Least Common Multiple of 104/12, 221/74, 323/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 104/12, 221/74, 323/916 quickly i.e. 16796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 104/12, 221/74, 323/916 is 16796.

LCM(104/12, 221/74, 323/916) = 16796

LCM of 104/12, 221/74, 323/916

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 104/12,221/74,323/916

Given numbers are 104/12,221/74,323/916

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 104,221,323

Least Common Multiple of Numerators i.e. LCM of 104,221,323 is 33592.

GCF of Denominators means GCF of 12,74,916 as per the given fractions.

GCF of 12,74,916 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 104,221,323

LCM of Fractions 104/12,221/74,323/916 is 16796

13 104, 221, 323
17 8, 17, 323
8, 1, 19

∴ So the LCM of the given numbers is 13 x 17 x 8 x 1 x 19 = 33592

Least Common Multiple of 104,221,323 with GCF Formula

Least Common Multiple of 104,221,323 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 104,221,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,221,323) = 1

common factors(in case of two or more numbers have common factors) = 221

GCF(104,221,323) x common factors =1 x 221 = 221

LCM(104,221,323) = ( 104 × 221 × 323 ) / 221

LCM(104,221,323) = 7423832 / 221

LCM(104,221,323) = 33592


Lets's calculate GCF of 12,74,916

2 12, 74, 916
6, 37, 458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33592/2

Therefore the LCM of Fractions 104/12,221/74,323/916 is 16796

Greatest Common Factor of 12,74,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,74,916 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 12,74,916 . The biggest common factor number is the GCF number.
So the greatest common factor 12,74,916 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 104/12, 221/74, 323/916

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 104/12, 221/74, 323/916?

Answer: LCM of Numerators as per given numbers 104/12, 221/74, 323/916 is

LCM of Numerators i.e. for 104,221,323 is 33592

GCF of denominators i.e. for 12,74,916 is 2.

Thus, LCM of Fractions is 16796.Finally, LCM of Fractions for 104/12, 221/74, 323/916 is 16796.