Least Common Multiple of 163/655, 738/240, 448/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 163/655, 738/240, 448/205 quickly i.e. 26945856/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 163/655, 738/240, 448/205 is 26945856/5.

LCM(163/655, 738/240, 448/205) = 26945856/5

LCM of 163/655, 738/240, 448/205

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 163/655,738/240,448/205

Given numbers are 163/655,738/240,448/205

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 163,738,448

Least Common Multiple of Numerators i.e. LCM of 163,738,448 is 26945856.

GCF of Denominators means GCF of 655,240,205 as per the given fractions.

GCF of 655,240,205 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 163,738,448

LCM of Fractions 163/655,738/240,448/205 is 26945856/5

2 163, 738, 448
163, 369, 224

∴ So the LCM of the given numbers is 2 x 163 x 369 x 224 = 26945856

Least Common Multiple of 163,738,448 with GCF Formula

Least Common Multiple of 163,738,448 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 163,738,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,738,448) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(163,738,448) x common factors =1 x 2 = 2

LCM(163,738,448) = ( 163 × 738 × 448 ) / 2

LCM(163,738,448) = 53891712 / 2

LCM(163,738,448) = 26945856


Lets's calculate GCF of 655,240,205

5 655, 240, 205
131, 48, 41

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26945856/5

Therefore the LCM of Fractions 163/655,738/240,448/205 is 26945856/5

Greatest Common Factor of 655,240,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,240,205 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 655,240,205 . The biggest common factor number is the GCF number.
So the greatest common factor 655,240,205 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 163/655, 738/240, 448/205

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 163/655, 738/240, 448/205?

Answer: LCM of Numerators as per given numbers 163/655, 738/240, 448/205 is

LCM of Numerators i.e. for 163,738,448 is 26945856

GCF of denominators i.e. for 655,240,205 is 5.

Thus, LCM of Fractions is 26945856/5.Finally, LCM of Fractions for 163/655, 738/240, 448/205 is 26945856/5.