Least Common Multiple of 440/193, 5344/4896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 440/193, 5344/4896 quickly i.e. 293920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 440/193, 5344/4896 is 293920.

LCM(440/193, 5344/4896) = 293920

LCM of 440/193, 5344/4896

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 440/193,5344/4896

Given numbers are 440/193,5344/4896

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 440,5344

Least Common Multiple of Numerators i.e. LCM of 440,5344 is 293920.

GCF of Denominators means GCF of 193,4896 as per the given fractions.

GCF of 193,4896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 440,5344

LCM of Fractions 440/193,5344/4896 is 293920

2 440, 5344
2 220, 2672
2 110, 1336
55, 668

∴ So the LCM of the given numbers is 2 x 2 x 2 x 55 x 668 = 293920

Least Common Multiple of 440,5344 with GCF Formula

Least Common Multiple of 440,5344 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 440,5344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,5344) = 8

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

GCF(440,5344) x common factors =8 x 1 = 8

LCM(440,5344) = ( 440 × 5344 ) / 8

LCM(440,5344) = 2351360 / 8

LCM(440,5344) = 293920


Lets's calculate GCF of 193,4896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 293920/1

Therefore the LCM of Fractions 440/193,5344/4896 is 293920

Greatest Common Factor of 193,4896 By Matching Biggest Common Factor Method

Greatest Common Factor of 193,4896 By Matching Biggest Common Factor Method

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 4896

List of positive integer factors of 4896 that divides 4896 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,68,72,96,102,136,144,153,204,272,288,306,408,544,612,816,1224,1632,2448,4896

Greatest Common Factor

We found the factors 193,4896 . The biggest common factor number is the GCF number.
So the greatest common factor 193,4896 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 440/193, 5344/4896

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 440/193, 5344/4896?

Answer: LCM of Numerators as per given numbers 440/193, 5344/4896 is

LCM of Numerators i.e. for 440,5344 is 293920

GCF of denominators i.e. for 193,4896 is 1.

Thus, LCM of Fractions is 293920.Finally, LCM of Fractions for 440/193, 5344/4896 is 293920.