Least Common Multiple of 768/448, 299/674, 729/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/448, 299/674, 729/476 quickly i.e. 27900288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/448, 299/674, 729/476 is 27900288.

LCM(768/448, 299/674, 729/476) = 27900288

LCM of 768/448, 299/674, 729/476

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 768/448,299/674,729/476

Given numbers are 768/448,299/674,729/476

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 768,299,729

Least Common Multiple of Numerators i.e. LCM of 768,299,729 is 55800576.

GCF of Denominators means GCF of 448,674,476 as per the given fractions.

GCF of 448,674,476 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,299,729

LCM of Fractions 768/448,299/674,729/476 is 27900288

3 768, 299, 729
256, 299, 243

∴ So the LCM of the given numbers is 3 x 256 x 299 x 243 = 55800576

Least Common Multiple of 768,299,729 with GCF Formula

Least Common Multiple of 768,299,729 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 768,299,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,299,729) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(768,299,729) x common factors =1 x 3 = 3

LCM(768,299,729) = ( 768 × 299 × 729 ) / 3

LCM(768,299,729) = 167401728 / 3

LCM(768,299,729) = 55800576


Lets's calculate GCF of 448,674,476

2 448, 674, 476
224, 337, 238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55800576/2

Therefore the LCM of Fractions 768/448,299/674,729/476 is 27900288

Greatest Common Factor of 448,674,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,674,476 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 448,674,476 . The biggest common factor number is the GCF number.
So the greatest common factor 448,674,476 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 768/448, 299/674, 729/476

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 768/448, 299/674, 729/476?

Answer: LCM of Numerators as per given numbers 768/448, 299/674, 729/476 is

LCM of Numerators i.e. for 768,299,729 is 55800576

GCF of denominators i.e. for 448,674,476 is 2.

Thus, LCM of Fractions is 27900288.Finally, LCM of Fractions for 768/448, 299/674, 729/476 is 27900288.