Least Common Multiple of 5444/730, 2405/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5444/730, 2405/384 quickly i.e. 6546410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5444/730, 2405/384 is 6546410.

LCM(5444/730, 2405/384) = 6546410

LCM of 5444/730, 2405/384

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 5444/730,2405/384

Given numbers are 5444/730,2405/384

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 5444,2405

Least Common Multiple of Numerators i.e. LCM of 5444,2405 is 13092820.

GCF of Denominators means GCF of 730,384 as per the given fractions.

GCF of 730,384 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5444,2405

LCM of Fractions 5444/730,2405/384 is 6546410

Given numbers has no common factors except 1. So, there LCM is their product i.e 13092820

Least Common Multiple of 5444,2405 with GCF Formula

Least Common Multiple of 5444,2405 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 5444,2405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5444,2405) = 1

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

GCF(5444,2405) x common factors =1 x 1 = 1

LCM(5444,2405) = ( 5444 × 2405 ) / 1

LCM(5444,2405) = 13092820 / 1

LCM(5444,2405) = 13092820


Lets's calculate GCF of 730,384

2 730, 384
365, 192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13092820/2

Therefore the LCM of Fractions 5444/730,2405/384 is 6546410

Greatest Common Factor of 730,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,384 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

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

Greatest Common Factor

We found the factors 730,384 . The biggest common factor number is the GCF number.
So the greatest common factor 730,384 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 5444/730, 2405/384

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 5444/730, 2405/384?

Answer: LCM of Numerators as per given numbers 5444/730, 2405/384 is

LCM of Numerators i.e. for 5444,2405 is 13092820

GCF of denominators i.e. for 730,384 is 2.

Thus, LCM of Fractions is 6546410.Finally, LCM of Fractions for 5444/730, 2405/384 is 6546410.