Least Common Multiple of 44/192, 446/742, 363/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/192, 446/742, 363/560 quickly i.e. 161898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/192, 446/742, 363/560 is 161898.

LCM(44/192, 446/742, 363/560) = 161898

LCM of 44/192, 446/742, 363/560

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 44/192,446/742,363/560

Given numbers are 44/192,446/742,363/560

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 44,446,363

Least Common Multiple of Numerators i.e. LCM of 44,446,363 is 323796.

GCF of Denominators means GCF of 192,742,560 as per the given fractions.

GCF of 192,742,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,446,363

LCM of Fractions 44/192,446/742,363/560 is 161898

2 44, 446, 363
11 22, 223, 363
2, 223, 33

∴ So the LCM of the given numbers is 2 x 11 x 2 x 223 x 33 = 323796

Least Common Multiple of 44,446,363 with GCF Formula

Least Common Multiple of 44,446,363 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 44,446,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,446,363) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(44,446,363) x common factors =1 x 22 = 22

LCM(44,446,363) = ( 44 × 446 × 363 ) / 22

LCM(44,446,363) = 7123512 / 22

LCM(44,446,363) = 323796


Lets's calculate GCF of 192,742,560

2 192, 742, 560
96, 371, 280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323796/2

Therefore the LCM of Fractions 44/192,446/742,363/560 is 161898

Greatest Common Factor of 192,742,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,742,560 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 192,742,560 . The biggest common factor number is the GCF number.
So the greatest common factor 192,742,560 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 44/192, 446/742, 363/560

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 44/192, 446/742, 363/560?

Answer: LCM of Numerators as per given numbers 44/192, 446/742, 363/560 is

LCM of Numerators i.e. for 44,446,363 is 323796

GCF of denominators i.e. for 192,742,560 is 2.

Thus, LCM of Fractions is 161898.Finally, LCM of Fractions for 44/192, 446/742, 363/560 is 161898.