Least Common Multiple of 204/806, 106/926, 144/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 204/806, 106/926, 144/297 quickly i.e. 129744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 204/806, 106/926, 144/297 is 129744.

LCM(204/806, 106/926, 144/297) = 129744

LCM of 204/806, 106/926, 144/297

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 204/806,106/926,144/297

Given numbers are 204/806,106/926,144/297

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 204,106,144

Least Common Multiple of Numerators i.e. LCM of 204,106,144 is 129744.

GCF of Denominators means GCF of 806,926,297 as per the given fractions.

GCF of 806,926,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 204,106,144

LCM of Fractions 204/806,106/926,144/297 is 129744

2 204, 106, 144
2 102, 53, 72
3 51, 53, 36
17, 53, 12

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 53 x 12 = 129744

Least Common Multiple of 204,106,144 with GCF Formula

Least Common Multiple of 204,106,144 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 204,106,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,106,144) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(204,106,144) x common factors =2 x 12 = 24

LCM(204,106,144) = ( 204 × 106 × 144 ) / 24

LCM(204,106,144) = 3113856 / 24

LCM(204,106,144) = 129744


Lets's calculate GCF of 806,926,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129744/1

Therefore the LCM of Fractions 204/806,106/926,144/297 is 129744

Greatest Common Factor of 806,926,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,926,297 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 806,926,297 . The biggest common factor number is the GCF number.
So the greatest common factor 806,926,297 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 204/806, 106/926, 144/297

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 204/806, 106/926, 144/297?

Answer: LCM of Numerators as per given numbers 204/806, 106/926, 144/297 is

LCM of Numerators i.e. for 204,106,144 is 129744

GCF of denominators i.e. for 806,926,297 is 1.

Thus, LCM of Fractions is 129744.Finally, LCM of Fractions for 204/806, 106/926, 144/297 is 129744.