Least Common Multiple of 446/576, 5552/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 446/576, 5552/768 quickly i.e. 1238096/192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 446/576, 5552/768 is 1238096/192.

LCM(446/576, 5552/768) = 1238096/192

LCM of 446/576, 5552/768

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 446/576,5552/768

Given numbers are 446/576,5552/768

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 446,5552

Least Common Multiple of Numerators i.e. LCM of 446,5552 is 1238096.

GCF of Denominators means GCF of 576,768 as per the given fractions.

GCF of 576,768 is 192 as it is the largest common factor for these numbers.

Lets's calculate LCM of 446,5552

LCM of Fractions 446/576,5552/768 is 1238096/192

2 446, 5552
223, 2776

∴ So the LCM of the given numbers is 2 x 223 x 2776 = 1238096

Least Common Multiple of 446,5552 with GCF Formula

Least Common Multiple of 446,5552 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 446,5552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,5552) = 2

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

GCF(446,5552) x common factors =2 x 1 = 2

LCM(446,5552) = ( 446 × 5552 ) / 2

LCM(446,5552) = 2476192 / 2

LCM(446,5552) = 1238096


Lets's calculate GCF of 576,768

2 576, 768
2 288, 384
2 144, 192
2 72, 96
2 36, 48
2 18, 24
3 9, 12
3, 4

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 = 192

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1238096/192

Therefore the LCM of Fractions 446/576,5552/768 is 1238096/192

Greatest Common Factor of 576,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,768 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 576,768 . The biggest common factor number is the GCF number.
So the greatest common factor 576,768 is 192.


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 446/576, 5552/768

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 446/576, 5552/768?

Answer: LCM of Numerators as per given numbers 446/576, 5552/768 is

LCM of Numerators i.e. for 446,5552 is 1238096

GCF of denominators i.e. for 576,768 is 192.

Thus, LCM of Fractions is 1238096/192.Finally, LCM of Fractions for 446/576, 5552/768 is 1238096/192.