Least Common Multiple of 17/549, 720/580, 242/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/549, 720/580, 242/229 quickly i.e. 1481040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/549, 720/580, 242/229 is 1481040.

LCM(17/549, 720/580, 242/229) = 1481040

LCM of 17/549, 720/580, 242/229

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 17/549,720/580,242/229

Given numbers are 17/549,720/580,242/229

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 17,720,242

Least Common Multiple of Numerators i.e. LCM of 17,720,242 is 1481040.

GCF of Denominators means GCF of 549,580,229 as per the given fractions.

GCF of 549,580,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,720,242

LCM of Fractions 17/549,720/580,242/229 is 1481040

2 17, 720, 242
17, 360, 121

∴ So the LCM of the given numbers is 2 x 17 x 360 x 121 = 1481040

Least Common Multiple of 17,720,242 with GCF Formula

Least Common Multiple of 17,720,242 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 17,720,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,720,242) = 1

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

GCF(17,720,242) x common factors =1 x 2 = 2

LCM(17,720,242) = ( 17 × 720 × 242 ) / 2

LCM(17,720,242) = 2962080 / 2

LCM(17,720,242) = 1481040


Lets's calculate GCF of 549,580,229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1481040/1

Therefore the LCM of Fractions 17/549,720/580,242/229 is 1481040

Greatest Common Factor of 549,580,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,580,229 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 549,580,229 . The biggest common factor number is the GCF number.
So the greatest common factor 549,580,229 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/549, 720/580, 242/229

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 17/549, 720/580, 242/229?

Answer: LCM of Numerators as per given numbers 17/549, 720/580, 242/229 is

LCM of Numerators i.e. for 17,720,242 is 1481040

GCF of denominators i.e. for 549,580,229 is 1.

Thus, LCM of Fractions is 1481040.Finally, LCM of Fractions for 17/549, 720/580, 242/229 is 1481040.